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# Wolfram Bugs >1000

### Content

There are bugs in many software such as WolframAlpha. Wish wolfram fix the bugs. You can copy equation and paste into MathHand.com, click the ODE button to solve, then click the test button to test its solution.

## Wolfram cannot find SIMPLE solution

Its solution is too compliacted, so cannot checked, perhaps the solution is wrong.

### first order ODE

1. y'= cbrt(y)
2. y'= 2*cbrt(y)
3. y'= 3*cbrt(y)
4. y'= (x)*cbrt(y)
5. y'= (x)^2*cbrt(y)
6. y'= (x)^3*cbrt(y)
7. y'= 2*(x)*cbrt(y)
8. y'= 2*x^2*cbrt(y)
9. y'= 2*(x)^3*cbrt(y)
10. y'= (x-1)*cbrt(y)
11. y'= (x-1)^2*cbrt(y)
12. y'= (x-1)^3*cbrt(y)
13. y'= (x)*cbrt(y-1)
14. y'= (x)^2*cbrt(y-1)
15. y'= (x)^3*cbrt(y-1)
16. y'= 2*(x-1)*cbrt(y)
17. y'= 2*(x-1)^2*cbrt(y)
18. y'= 2*(x-1)^3*cbrt(y)
19. y'= 2*(x)*cbrt(y-1)
20. y'= 2*(x)^2*cbrt(y-1)
21. y'= 2*(x)^3*cbrt(y-1)

22. y' *(y^2+x)-2y =0
23. y' *(y^2+x)-3y =0
24. y' *(y^2+x)-4y =0
25. y' *(y^2+x)+3y =0
26. y' *(y^2+x)+4y =0

27. y'^2-x*y'-y=0
28. y'^2-x*y'-2y=0
29. y'^2-2x*y'-y=0
30. y'^2-2x*y'-2y=0

31. y'-x/(y-x-1)=0
32. y'-(x-1)/(y-x-1)=0
33. y'-x/(y-x-11)=0
34. y'-(x-11)/(y-x-11)=0
35. y'-x/(y-2x-1)=0
36. y'-(x-11)/(y-x-1)=0
37. y'-1/(y-x-1)-1=0
38. y'= -1/(y-x-1)-1

### second order ODE

39. y''+y' +x*y+x*x+1=0
40. y''+y' +2x*y+2x*x+1=0

41. y'' *y'-y=0
42. y'' *y'-2y=0
43. y'' *y'-3y=0
44. y'' *y'-c*y=0

45. y''-y/(x+1)-1=0
46. y''-y/(2x+1)-1=0
47. y''-2y/(2x+1)-1=0

48. x*y''-y-1-x=0
49. x*y''-y-1-2x=0
50. x*y''-y+1-2x=0

51. x*y''-y-x=0
52. x*y''-y-2x=0
53. x*y''-2y-2x=0

54. y" -(x+y)^2 =0
55. y" -(x+y)^3 =0
56. y" -(x+y-1)^2 =0
57. y" -(x+y-1)^3 =0
58. y" -(x+y+1)^2 =0
59. y" -(x+y+1)^3 =0

60. y''-x^2-2x*y-y^2=0

61. y' *y'' -x^2-1=0
62. y' *y'' -x^2-2=0
63. y' *y'' -x^2-3=0
64. y' *y'' -x^2+1=0
65. y' *y'' -x^2+2=0
66. y' *y'' -x^2+3=0
67. y' *y'' +x^2-1=0
68. y' *y'' +x^2-2=0
69. y' *y'' +x^2-3=0
70. y' *y'' +x^2+1=0
71. y' *y'' +x^2+2=0
72. y' *y'' +x^2+c=0

73. y''*y'-y^2=0
74. y''*y'-y^3=0
75. y''*y'-y^4=0

76. y''-x*y'-x*y-x=0
77. y''-x*y'-x*y-2x=0
78. y''-x*y'-x*y-3x=0
.......
79. y''-x*y'-x*y-n*x=0
80. y''-x*y'-x*y-x^2-x=0
81. y''-x*y'-x*y-x^3+2=0
82. y''-x*y'-x*y-x^4-6=0
83. y''-x*y'-x*y-x^5+24=0
.......
84. y''-x*y'-x*y-x^n=0
85. y''-a*x*y'-b*x*y-c*x^n=0
86. y''-y'-x*y-x=0
87. y''-y'-x*y-x^2=0
88. y''-y'-x*y-x^2-1=0
89. y''-2*y'-x*y-x^2-2=0
90. y''-4*y'-x*y-x^2-4=0
91. y''-y'-x*y-x^3-x^2+1=0
92. y''-2y'-x*y-x^3-x^2=0
93. y''-y'-x*y-x^3+2=0
94. y''-2y'-x*y-x^3+2=0
95. y''-4y'-x*y-x^3+2=0
96. y''-6y'-x*y-x^3+2=0
97. y''-8y'-x*y-x^3+2=0
98. y''-y'-x*y-x^4+3=0
.......
99. y''-y'-x*y-x^n=0
100. y''-a*y'-b*x*y-c*x^n=0
101. y''-x*y-x^3+2=0
102. y''-x*y-x^6+40=0
.......
103. y''-x*y-x^n=0
104. y''-x*y-x^6-x^3+42=0
105. y''-x^2*y-x^2=0
106. y''-x^2*y-x^3=0
107. y''-x^2*y-x^4=0
108. y''-x^2*y-x^4+2=0
109. y''-2x^2*y-x^4+1=0
110. y''-x^3*y-x^3=0
111. y''-x^3*y-x^4=0
.......
112. y''-x^n*y-x^n=0
113. y''-x^2*y'-x*y-x^2=0
114. y''-x^2*y'-x*y-2x^2=0
115. y''-x^2*y'-x*y-3x^2=0
.......
116. y''-x^2*y'-x*y-n*x^2=0
117. y''-x^3*y'-x^2*y-x^3=0
118. y''-x^3*y'-x^3*y-x^3=0
.......
119. y''-x^n*y'-x^n*y-x^n=0
120. y''-x^2*y'-x*y-x^2=0
121. y''-x^2*y'-x^2*y-x^3-x^2=0
122. y''-x^2*y'-x^3*y-x^4-x^2=0
123. y''-x^3*y'-x*y-x^3-x^2=0
124. y''-x^3*y'-x^2*y-x^3=0
125. y''-x^3*y'-x^3*y-x^4-x^3=0
126. y''-x^3*y'-x^2*y-2x^3=0
127. y''-x^3*y'-x^2*y-3x^3=0
128. y''-x^3*y'-x^2*y-4x^3=0
.......
129. y''-x^3*y'-x^2*y-n*x^3=0
130. y''-1/x*y'-x*y-x^2-1/x=0
131. y''-1/x*y'-x^2*y-x^3-1/x=0
132. y''-1/x*y'-x^3*y-x^4-1/x=0

133. y'*y'' -exp(y)=0
134. y'*y'' -2exp(y)=0
135. y'*y'' -3exp(y)=0

136. y'' -y^2 =0
137. y'' -y^3 =0
138. y'' -y^2.5 =0
139. y'' -y^3.5 =0

140. y''-y^2+y=0
141. y''-y^2-4y-1=0
142. y''-y^2-2y-1=0
143. y''+y^2+2y=0
144. y''+y^2+2=0

145. y''-y^3-y=0
146. y''-y^3+y=0
147. y''+y^3-y=0
148. y''+y^3+y=0

## Wolfram solutions are wrong

### first order ODE

149. y'-y^2-2x^2-1=0
150. y'-y^2-x^2-3=0
151. y'-y^2-x^2-x-1=0
152. y'-y^2-x^2-x-11=0
153. y'-y^2-x^2-x=0
......
154. y'- y^2 -b *x^2 =0
155. y'-y^2 -b *x^2-c =0
156. y'-y^2 -b *x^2-c *x =0
157. y'-y^2 -b *x^2-c *x-d=0
Wolfram solution always is 1/(c1-x) for above equations.

158. y'-2y^2-2x^2-1=0
159. y'-2y^2-x^2-3x=0
160. y'-2y^2-x^2-x-1=0
161. y'-2y^2-x^2-x-11=0
......
162. y'-2 y^2 -b* x^2 =0
163. y'-2y^2 -b* x^2-c =0
164. y'-2y^2 -b* x^2-c* x =0
165. y'-2y^2 -b* x^2-c* x-d =0
Wolfram solution always is 1/(2 (c1-x)) for above equations.

166. y'-3y^2-2x^2-1=0
167. y'-3y^2-x^2-3x=0
168. y'-3y^2-x^2-x-1=0
169. y'-3y^2-x^2-x-11=0
.....
170. y'-3y^2 -b* x^2 =0
171. y'-3y^2 -b* x^2-c =0
172. y'-3y^2 -b* x^2-c* x =0
173. y'-3y^2 -b* x^2-c* x-d =0
Wolfram solution always is 1/(3 (c1-x)) for above equations.

174. y'-a*y^2 -b* x^2 =0
175. y'-a*y^2 -b* x^2-c* x =0
176. y'-a*y^2 -b* x^2-d =0
177. y'-a*y^2 -b* x^2-c* x-d=0
Wolfram solution always is 1/(a (c1-x)) for above equations.

178. y'-a*y^2 -y-b* x^2 =0
179. y'-a*y^2 -y-b* x^2-c *x =0
180. y'-a*y^2 -y-b* x^2-d =0
181. y'-a*y^2 -y-b* x^2-c *x-d=0
Wolfram solution always is 1/(a (c1-x))-1/(2a) for above equations.

182. y'-a*y^2 -f*y-b*x^2 =0
183. y'-a*y^2 -f*y-b*x^2-c*x =0
184. y'-a*y^2 -f*y-b*x^2-d =0
185. y'-a*y^2 -f*y-b*x^2-c*x-d=0
Wolfram solution always is 1/(a (c1-x))-f/(2a) for above equations.

### second order ODE

186. y''-y'*y-x=0
187. y''-y'*y-2x=0
188. y''- y* y'-3x=0
......
189. y''- y *y' -c *x=0
Wolfram solution always is 2/(c1-x) for above equations.

190. y''+y'*y+x=0
191. y''+y'*y+2x=0
192. y''+ y *y'+3x=0
......
193. y''+ y *y' +c *x=0
Wolfram solution always is 2/(c1+x) for above equations.

194. y''-2 y*y'-x=0
195. y''-2 y*y'-2x=0
196. y''-2 y*y'-3x=0
......
197. y''-2 y*y' -c *x=0
Wolfram solution always is 1/(c1-x) for above equations.

198. y''-b*y*y'-x=0
199. y''-b*y*y'-2x=0
200. y''-b*y*y'-3x=0
......
201. y''-b*y*y' -c *x=0
Wolfram solution always is 2/(b (c1-x)) for above equations.

202. y''+y'*y+x=0
203. y''+y'*y+2x=0
204. y''+ y*y'+3x=0
......
205. y''+ y*y' +c*x=0
Wolfram solution always is 2/(c1+x) for above equations.

206. y''* y'-y(x)^n=0
207. y''* y'+y(x)^n=0

when the minus sign in all above examples changed to the plus sign, wolfram also give wrong result.

### partial differential equation

208. if adding a term to above equations become the partial differential equations, thier solutions are wrong too.
209. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-1 == 0
210. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-2 == 0
211. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-x == 0
212. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-x-1 == 0
213. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-x-2 == 0
214. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-2x == 0
215. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-2x-1 == 0
216. D[y[x, t], t] +D[y[x, t], x] -y^2-x^2-2x-2 == 0
217. D[y[x, t], t] +D[y[x, t], x] -y^2-2x^2-x == 0
218. D[y[x, t], t] +D[y[x, t], x] -y^2-2x^2-x-1 == 0
219. D[y[x, t], t] +D[y[x, t], x] -y^2-2x^2-x-2 == 0
220. D[y[x, t], t] +D[y[x, t], x] -y^2-2x^2-2x == 0
221. D[y[x, t], t] +D[y[x, t], x] -y^2-2x^2-2x-1 == 0
222. D[y[x, t], t] +D[y[x, t], x] -y^2-2x^2-2x-2 == 0
......
Wolfram solutions always is 1/(c1(x-t)-x)

## Wolfram cannot solve

### Integral

223. integrate f(x)
224. integrate(diff(F(x)),x,a,b)

225. integrate x^x
226. integrate(x^(-x))
227. integrate(x^(2x))
228. integrate(x^(n* x))

229. integrate x^x/x
230. integrate x^x/x^2
231. integrate x^x/exp(x)
232. integrate(x^(-x)/exp(x))
233. integrate(x^(2x)/exp(x))
234. integrate(x^(n* x)/exp(x))

### First order ode

235. y'=sin(x+y)
236. y'=sin(x+y+1)
237. y'=sin(x+y-1)
238. y'=sin(-x+y)
239. y'=sin(-x+y+1)
240. y'=sin(-x+y-1)
241. y'=sin(y+x)+x
242. y'=sin(y+x+1)+x
243. y'=sin(y-x)+x
244. y'=sin(y-x-1)+x
245. y'=sin(y-x)-x
246. y'=sin(y-x-1)-x
247. y'=sin(y-x^2)+x
248. y'=sin(y-x^2-1)+x
249. y'=sin(y-x^2-1)-x

250. y'= tan(x+y)
251. y'= cot(x+y)
252. y'= 1/tan(x+y)
253. y'= 1/cot(x+y)
254. y'= 1/csc(y+x)
255. y'= atan(x+y)
256. y'= acot(x+y)
257. y'= asec(x+y)
258. y'= acsc(x+y)

259. y'= csch(x+y)
260. y'= atanh(x+y)
261. y'= acoth(x+y)
262. y'= asech(x+y)
263. y'= acsch(x+y)

264. y'= asin(y)+cos(x)-x
265. y'= asin(y-1)+cos(x)-x
266. y'= asin(y+x^2)+cos(x)-3x
267. y'= asin(y-1+x^2)+cos(x)-3x
268. y'= asin(y-x^2/2)+cos(x)
269. y'= asin(y-1-x^2/2)+cos(x)
270. y'= asin(y)+cos(x+1)-x-1
271. y'= asin(y-1)+cos(x+1)-x-1
272. y'= asin(y+x^2)+cos(x+1)-3x-1
273. y'= asin(y-1+x^2)+cos(x+1)-3x-1
274. y'= asin(y)+2cos(2x)-2x
275. y'= asin(y-1)+2cos(2x)-2x
276. y'= asin(y-x^2)+2cos(2x)
277. y'= asin(y-1-x^2)+2cos(2x)
278. y'= asin(y-x^2)+2cos(2x+1)-1
279. y'= asin(y-1-x^2)+2cos(2x+1)-1
280. y'= asin(y-x^2/2)+cos(x+1)-1
281. y'= asin(y-1-x^2/2)+cos(x+1)-1
282. y'= 2asin(y)+cos(x)-2x
283. y'= 2asin(y-1)+cos(x)-2x
284. y'= 2asin(y+x^2)+cos(x)-5x
285. y'= 2asin(y-1+x^2)+cos(x)-5x
286. y'= 2asin(y-x^2/2)+cos(x)-x
287. y'= 2asin(y-1-x^2/2)+cos(x)-x
288. y'= 2asin(y)+cos(x+1)-2x-1
289. y'= 2asin(y-1)+cos(x+1)-2x-1
290. y'= 2asin(y+x^2)+cos(x+1)-5x-1
291. y'= 2asin(y-1+x^2)+cos(x+1)-5x-1
292. y'= 2asin(y)+2cos(2x)-3x
293. y'= 2asin(y-1)+2cos(2x)-3x
294. y'= 2asin(y-x^2)+2cos(2x)-x
295. y'= 2asin(y-1-x^2)+2cos(2x)-x
296. y'= 2asin(y-x^2)+2cos(2x+1)-1-x
297. y'= 2asin(y-1-x^2)+2cos(2x+1)-1-x
298. y'= 2asin(y-x^2/2)+cos(x+1)-1-x
299. y'= 2asin(y-1-x^2/2)+cos(x+1)-1-x

300. y'= acos(y)-sin(x)-x
301. y'= acos(y-1)-sin(x)-x
302. y'= acos(y+x^2)-sin(x)-3x
303. y'= acos(y-1+x^2)-sin(x)-3x
304. y'= acos(y-x^2/2)-sin(x)
305. y'= acos(y-1-x^2/2)-sin(x)
306. y'= acos(y)-sin(x+1)-x-1
307. y'= acos(y-1)-sin(x+1)-x-1
308. y'= acos(y+x^2)-sin(x+1)-3x-1
309. y'= acos(y-1+x^2)-sin(x+1)-3x-1
310. y'= acos(y)-2sin(2x)-2x
311. y'= acos(y-1)-2sin(2x)-2x
312. y'= acos(y-x^2)-2sin(2x)
313. y'= acos(y-1-x^2)-2sin(2x)
314. y'= acos(y-x^2)-2sin(2x+1)-1
315. y'= acos(y-1-x^2)-2sin(2x+1)-1
316. y'= acos(y-x^2/2)-sin(x+1)-1
317. y'= acos(y-1-x^2/2)-sin(x+1)-1
318. y'= 2acos(y)-sin(x)-2x
319. y'= 2acos(y-1)-sin(x)-2x
320. y'= 2acos(y+x^2)-sin(x)-5x
321. y'= 2acos(y-1+x^2)-sin(x)-5x
322. y'= 2acos(y-x^2/2)-sin(x)-x
323. y'= 2acos(y-1-x^2/2)-sin(x)-x
324. y'= 2acos(y)-sin(x+1)-2x-1
325. y'= 2acos(y-1)-sin(x+1)-2x-1
326. y'= 2acos(y+x^2)-sin(x+1)-4x-1
327. y'= 2acos(y-1+x^2)-sin(x+1)-4x-1
328. y'= 2acos(y)-2sin(2x)-3x
329. y'= 2acos(y-1)-2sin(2x)-3x
330. y'= 2acos(y-x^2)-2sin(2x)-x
331. y'= 2acos(y-1-x^2)-2sin(2x)-x
332. y'= 2acos(y-x^2)-2sin(2x+1)-1-x
333. y'= 2acos(y-1-x^2)-2sin(2x+1)-1-x
334. y'= 2acos(y-x^2/2)-sin(x+1)-1-x
335. y'= 2acos(y-1-x^2/2)-sin(x+1)-1-x

336. y'= asinh(y)+cosh(x)-x
337. y'= asinh(y-1)+cosh(x)-x
338. y'= asinh(y+x^2)+cosh(x)-3x
339. y'= asinh(y-1+x^2)+cosh(x)-3x
340. y'= asinh(y-x^2/2)+cosh(x)
341. y'= asinh(y-1-x^2/2)+cosh(x)
342. y'= asinh(y)+cosh(x+1)-x-1
343. y'= asinh(y-1)+cosh(x+1)-x-1
344. y'= asinh(y+x^2)+cosh(x+1)-3x-1
345. y'= asinh(y-1+x^2)+cosh(x+1)-3x-1
346. y'= asinh(y)+2cosh(2x)-2x
347. y'= asinh(y-1)+2cosh(2x)-2x
348. y'= asinh(y-x^2)+2cosh(2x)
349. y'= asinh(y-1-x^2)+2cosh(2x)
350. y'= asinh(y-x^2)+2cosh(2x+1)-1
351. y'= asinh(y-1-x^2)+2cosh(2x+1)-1
352. y'= asinh(y-x^2/2)+cosh(x+1)-1
353. y'= asinh(y-1-x^2/2)+cosh(x+1)-1
354. y'= 2asinh(y)+cosh(x)-2x
355. y'= 2asinh(y-1)+cosh(x)-2x
356. y'= 2asinh(y+x^2)+cosh(x)-4x
357. y'= 2asinh(y-1+x^2)+cosh(x)-4x
358. y'= 2asinh(y-x^2/2)+cosh(x)-x
359. y'= 2asinh(y-1-x^2/2)+cosh(x)-x
360. y'= 2asinh(y)+cosh(x+1)-2x-1
361. y'= 2asinh(y-1)+cosh(x+1)-2x-1
362. y'= 2asinh(y+x^2)+cosh(x+1)-4x-1
363. y'= 2asinh(y-1+x^2)+cosh(x+1)-4x-1
364. y'= 2asinh(y)+2cosh(2x)-3x
365. y'= 2asinh(y-1)+2cosh(2x)-3x
366. y'= 2asinh(y-x^2)+2cosh(2x)-x
367. y'= 2asinh(y-1-x^2)+2cosh(2x)-x
368. y'= 2asinh(y-x^2)+2cosh(2x+1)-1-x
369. y'= 2asinh(y-1-x^2)+2cosh(2x+1)-1-x
370. y'= 2asinh(y-x^2/2)+cosh(x+1)-1-x
371. y'= 2asinh(y-1-x^2/2)+cosh(x+1)-1-x

372. y'= acosh(y)-sinh(x)-x
373. y'= acosh(y-1)-sinh(x)-x
374. y'= acosh(y+x^2)-sinh(x)-3x
375. y'= acosh(y-1+x^2)-sinh(x)-3x
376. y'= acosh(y-x^2/2)-sinh(x)
377. y'= acosh(y-1-x^2/2)-sinh(x)
378. y'= acosh(y)-sinh(x+1)-x-1
379. y'= acosh(y-1)-sinh(x+1)-x-1
380. y'= acosh(y+x^2)-sinh(x+1)-3x-1
381. y'= acosh(y-1+x^2)-sinh(x+1)-3x-1
382. y'= acosh(y)-2sinh(2x)-2x
383. y'= acosh(y-1)-2sinh(2x)-2x
384. y'= acosh(y-x^2)-2sinh(2x)
385. y'= acosh(y-1-x^2)-2sinh(2x)
386. y'= acosh(y-x^2)-2sinh(2x+1)-1
387. y'= acosh(y-1-x^2)-2sinh(2x+1)-1
388. y'= acosh(y-x^2/2)-sinh(x+1)-1
389. y'= acosh(y-1-x^2/2)-sinh(x+1)-1
390. y'= 2acosh(y)-sinh(x)-2x
391. y'= 2acosh(y-1)-sinh(x)-2x
392. y'= 2acosh(y+x^2)-sinh(x)-4x
393. y'= 2acosh(y-1+x^2)-sinh(x)-4x
394. y'= 2acosh(y-x^2/2)-sinh(x)-x
395. y'= 2acosh(y-1-x^2/2)-sinh(x)-x
396. y'= 2acosh(y)-sinh(x+1)-2x-1
397. y'= 2acosh(y-1)-sinh(x+1)-2x-1
398. y'= 2acosh(y+x^2)-sinh(x+1)-4x-1
399. y'= 2acosh(y-1+x^2)-sinh(x+1)-4x-1
400. y'= 2acosh(y)-2sinh(2x)-3x
401. y'= 2acosh(y-1)-2sinh(2x)-3x
402. y'= 2acosh(y-x^2)-2sinh(2x)-x
403. y'= 2acosh(y-1-x^2)-2sinh(2x)-x
404. y'= 2acosh(y-x^2)-2sinh(2x+1)-1-x
405. y'= 2acosh(y-1-x^2)-2sinh(2x+1)-1-x
406. y'= 2acosh(y-x^2/2)-sinh(x+1)-1-x
407. y'= 2acosh(y-1-x^2/2)-sinh(x+1)-1-x

408. y'= log(y)+exp(x)-x
409. y'= log(y-1)+exp(x)-x
410. y'= log(y+x^2)+exp(x)-3x
411. y'= log(y-1+x^2)+exp(x)-3x
412. y'= log(y-x^2/2)+exp(x)
413. y'= log(y-1-x^2/2)+exp(x)
414. y'= log(y)+exp(x+1)-x-1
415. y'= log(y-1)+exp(x+1)-x-1
416. y'= log(y+x^2)+exp(x+1)-3x-1
417. y'= log(y-1+x^2)+exp(x+1)-3x-1
418. y'= log(y-x^2/2)+exp(x+1)-1
419. y'= log(y-1-x^2/2)+exp(x+1)-1
420. y'= 2log(y)+exp(x)-2x
421. y'= 2log(y-1)+exp(x)-2x
422. y'= 2log(y+x^2)+exp(x)-4x
423. y'= 2log(y-1+x^2)+exp(x)-4x
424. y'= 2log(y-x^2/2)+exp(x)-x
425. y'= 2log(y-1-x^2/2)+exp(x)-x
426. y'= 2log(y)+exp(x+1)-2x-1
427. y'= 2log(y-1)+exp(x+1)-2x-1
428. y'= 2log(y+x^2)+exp(x+1)-4x-1
429. y'= 2log(y-1+x^2)+exp(x+1)-4x-1
430. y'= 2log(y-x^2/2)+exp(x+1)-1-x
431. y'= 2log(y-1-x^2/2)+exp(x+1)-1-x

432. y'=cbrt(x+y)
433. y'=cbrt(x+y)-1
434. y'=cbrt(x+y)+1
435. y'=cbrt(x+y+1)
436. y'=cbrt(x+y-1)
437. y'=cbrt(x+y+1)-1
438. y'=cbrt(x+y-1)+1
439. y'=cbrt(-x+y)
440. y'=cbrt(-x+y+1)
441. y'=cbrt(-x+y-1)
442. y'=cbrt(-x+y)-1
443. y'=cbrt(-x+y+1)-1
444. y'=cbrt(-x+y-1)-1
445. y'=cbrt(-x+y)+1
446. y'=cbrt(-x+y+1)+1
447. y'=cbrt(-x+y-1)+1
448. y'=cbrt(y+x)+x
449. y'=cbrt(y+x+1)+x
450. y'=cbrt(y-x)+x
451. y'=cbrt(y-x-1)+x
452. y'=cbrt(y-x)-x
453. y'=cbrt(y-x-1)-x
454. y'=cbrt(y-x^2)+x
455. y'=cbrt(y-x^2-1)+x
456. y'=cbrt(y-x^2-1)-x

457. y'=2cbrt(x+y)
458. y'=2cbrt(x+y)-1
459. y'=2cbrt(x+y)+1
460. y'=2cbrt(x+y+1)
461. y'=2cbrt(x+y-1)
462. y'=2cbrt(x+y+1)-1
463. y'=2cbrt(x+y-1)+1
464. y'=2cbrt(-x+y)
465. y'=2cbrt(-x+y+1)
466. y'=2cbrt(-x+y-1)
467. y'=2cbrt(-x+y)-1
468. y'=2cbrt(-x+y+1)-1
469. y'=2cbrt(-x+y-1)-1
470. y'=2cbrt(-x+y)+1
471. y'=2cbrt(-x+y+1)+1
472. y'=2cbrt(-x+y-1)+1
473. y'=2cbrt(y+x)+x
474. y'=2cbrt(y+x+1)+x
475. y'=2cbrt(y-x)+x
476. y'=2cbrt(y-x-1)+x
477. y'=2cbrt(y-x)-x
478. y'=2cbrt(y-x-1)-x
479. y'=2cbrt(y-x^2)+x
480. y'=2cbrt(y-x^2-1)+x
481. y'=2cbrt(y-x^2-1)-x

482. y'= cbrt(x*y)
483. y'= cbrt(2x*y)
484. y'= 2cbrt(x*y)
485. y'= 2cbrt(2x*y)
486. y'= cbrt(x*y)*x
487. y'= cbrt(2x*y)*x
488. y'= 2cbrt(x*y)*x
489. y'= 2cbrt(2x*y)*x
490. y'= cbrt(x*y)*x^2
491. y'= cbrt(2x*y)*x^2
492. y'= 2cbrt(x*y)*x^2
493. y'= 2cbrt(2x*y)*x^2

494. y'= (x-1)*cbrt(y-1)
495. y'= (x-1)^2*cbrt(y-1)
496. y'= (x-1)^3*cbrt(y-1)
497. y'= (2*x-1)*cbrt(y-1)
498. y'= 2*(x-1)^2*cbrt(y-1)
499. y'= 2*(x-1)^3*cbrt(y-1)
500. y'= 2*(x)^2*cbrt(y-1)
501. y'= 2*(x)^3*cbrt(y-1)

502. y'= (x-1)*cbrt(y-2)
503. y'= (x-1)^2*cbrt(y-2)
504. y'= (x-1)^3*cbrt(y-2)
505. y'= (2*x-1)*cbrt(y-2)
506. y'= 2*(x-1)^2*cbrt(y-2)
507. y'= 2*(x-1)^3*cbrt(y-2)

508. y'=sqrt(x)*cbrt(y)
509. y'=sqrt(x)*cbrt(y-1)
510. y'=sqrt(x)*cbrt(y-a)
511. y'=sqrt(x-1)*cbrt(y)
512. y'=sqrt(x-1)*cbrt(y-a)
513. y'=sqrt(x-b)*cbrt(y)
514. y'=sqrt(x-b)*cbrt(y-a)
515. y'=1/sqrt(x)*cbrt(y)
516. y'=1/sqrt(x)*cbrt(y-1)
517. y'=1/sqrt(x)*cbrt(y-a)
518. y'=1/sqrt(x-1)*cbrt(y)
519. y'=1/qrt(x-2)*cbrt(y-a)
520. y'=1/sqrt(x-b)*cbrt(y)
521. y'=1/qrt(x-b)*cbrt(y-a)
522. y'=cbrt(y)*x^n
523. y'=cbrt(y-1)*x^n
524. y'=cbrt(y+1)*x^n
525. y'=2*sqrt(x)*cbrt(y)
526. y'=2*sqrt(x)*cbrt(y-1)
527. y'=2*sqrt(x)*cbrt(y-a)
528. y'=2*sqrt(x-1)*cbrt(y)
529. y'=2*sqrt(x-1)*cbrt(y-a)
530. y'=2*sqrt(x-b)*cbrt(y)
531. y'=2*sqrt(x-b)*cbrt(y-a)
532. y'=2*1/sqrt(x)*cbrt(y)
533. y'=2*1/sqrt(x)*cbrt(y-1)
534. y'=2*1/sqrt(x)*cbrt(y-a)
535. y'=2*1/sqrt(x-1)*cbrt(y)
536. y'=2*1/qrt(x-2)*cbrt(y-a)
537. y'=2*1/sqrt(x-b)*cbrt(y)
538. y'=2*1/qrt(x-b)*cbrt(y-a)
539. y'=2*cbrt(y)*x^n
540. y'=2*cbrt(y-1)*x^n
541. y'=2*cbrt(y+1)*x^n

542. y'=sqrt(x)/cbrt(y)
543. y'=sqrt(x)/cbrt(y-1)
544. y'=sqrt(x)/cbrt(y-a)
545. y'=sqrt(x-1)/cbrt(y)
546. y'=sqrt(x-1)/cbrt(y-a)
547. y'=sqrt(x-b)/cbrt(y)
548. y'=sqrt(x-b)/cbrt(y-a)
549. y'=1/sqrt(x)/cbrt(y)
550. y'=1/sqrt(x)/cbrt(y-1)
551. y'=1/sqrt(x)/cbrt(y-a)
552. y'=1/sqrt(x-1)/cbrt(y)
553. y'=1/qrt(x-2)/cbrt(y-a)
554. y'=1/sqrt(x-b)/cbrt(y)
555. y'=1/qrt(x-b)/cbrt(y-a)
556. y'=cbrt(y)/x^n
557. y'=2*sqrt(x)/cbrt(y)
558. y'=2*sqrt(x)/cbrt(y-1)
559. y'=2*sqrt(x)/cbrt(y-a)
560. y'=2*sqrt(x-1)/cbrt(y)
561. y'=2*sqrt(x-1)/cbrt(y-a)
562. y'=2*sqrt(x-b)/cbrt(y)
563. y'=2*sqrt(x-b)/cbrt(y-a)
564. y'=2*1/sqrt(x)/cbrt(y)
565. y'=2*1/sqrt(x)/cbrt(y-1)
566. y'=2*1/sqrt(x)/cbrt(y-a)
567. y'=2*1/sqrt(x-1)/cbrt(y)
568. y'=2*1/qrt(x-2)/cbrt(y-a)
569. y'=2*1/sqrt(x-b)/cbrt(y)
570. y'=2*1/qrt(x-b)/cbrt(y-a)
571. y'=2*cbrt(y)/x^n

572. y'^3=y'+x
573. y'^3=y'+2x
574. y'^3=y'+3x
575. y'^3=2y'+x
576. y'^3=2y'+2x
577. y'^3=2y'+3x

578. y'^4=y'+x
579. y'^4=y'+2x
580. y'^4=y'+3x
581. y'^4=2y'+x
582. y'^4=2y'+2x
583. y'^4=2y'+3x

584. y'^5=y'+x
585. y'^5=y'+2x
586. y'^5=y'+3x
587. y'^5=2y'+x
588. y'^5=2y'+2x
589. y'^5=2y'+3x

590. y'^3+2x*y'-2y-2y^2=0
591. y'^3+2x*y'-2y-2y^2=1
592. y'^3+2x*y'-2y-2y^2=2
593. y'^3+2x*y'-2y-4y^2=0
594. y'^3+2x*y'-2y-4y^2=1
595. y'^3+2x*y'-2y-4y^2=2
596. y'^3+2x*y'-2y-2y^2.5=0
597. y'^3+2x*y'-2y-2y^2.5=1
598. y'^3+2x*y'-2y-2y^2.5=2
599. y'^3+2x*y'-2y-4y^2.5=0
600. y'^3+2x*y'-2y-4y^2.5=1
601. y'^3+2x*y'-2y-4y^2.5=2
......

### Second order ode

602. y''= tan(x+y)
603. y''= cot(x+y)
604. y''= sec(x+y)
605. y''= csc(x+y)
606. y''= tan(x+y+1)
607. y''= cot(x+y+1)
608. y''= sec(x+y+1)
609. y''= csc(x+y+1)
610. y''= tan(x+y+1)
611. y''= cot(x+y+1)
612. y''= sec(x+y+1)
613. y''= csc(x+y+1)

614. y''= atan(x+y)
615. y''= acot(x+y)
616. y''= asec(x+y)
617. y''= acsc(x+y)
618. y''= atan(x+y+1)
619. y''= acot(x+y+1)
620. y''= asec(x+y+1)
621. y''= acsc(x+y+1)
622. y''= atan(x+y-1)
623. y''= acot(x+y-1)
624. y''= asec(x+y-1)
625. y''= acsc(x+y-1)

626. y''= tanh(x+y)
627. y''= coth(x+y)
628. y''= sech(x+y)
629. y''= csch(x+y)
630. y''= tanh(x+y+1)
631. y''= coth(x+y+1)
632. y''= sech(x+y+1)
633. y''= csch(x+y+1)
634. y''= tanh(x+y-1)
635. y''= coth(x+y-1)
636. y''= sech(x+y-1)
637. y''= csch(x+y-1)

638. y''= atahn(x+y)
639. y''= acoth(x+y)
640. y''= asech(x+y)
641. y''= acsch(x+y)
642. y''= atahn(x+y+1)
643. y''= acoth(x+y+1)
644. y''= asech(x+y+1)
645. y''= acsch(x+y+1)
646. y''= atahn(x+y-1)
647. y''= acoth(x+y-1)
648. y''= asech(x+y-1)
649. y''= acsch(x+y-1)

650. y'' = exp(-x+y)-1
651. y'' = exp(-2x+y)-1
652. y'' = 1/exp(x+y)-1
653. y'' = 1/exp(2x+y)-1
654. y'' = exp(x+y)-x
655. y'' = exp(2x+y)-x
656. y'' = 1/exp(x+y)-x
657. y'' = 1/exp(2x+y)-x
658. y'' = exp(-x*x+y)-2x
659. y'' = exp(-x*x+y)-2x
660. y'' = 1/exp(x+y)-2x
661. y'' = 1/exp(2x*x+y)-2x
662. y'' = 1/exp(x+y+1)
663. y'' = 1/exp(2x+y+1)
664. y'' = 1/exp(x+y+1)-1
665. y'' = 1/exp(2x+y+1)-1
666. y'' = exp(-x+y+1)-1
667. y'' = exp(-2x+y+1)-1
668. y'' = exp(x+y+1)-x
669. y'' = exp(2x+y+1)-x
670. y'' = 1/exp(x+y+1)-x
671. y'' = 1/exp(2x+y+1)-x
672. y'' = exp(-x*x+y+1)-2x
673. y'' = exp(-x*x+y+1)-2x
674. y'' = 1/exp(x+y+1)-2x
675. y'' = 1/exp(2x*x+y+1)-2x

676. y'' = sin(x+y)-1
677. y'' = sin(-x+y)-1
678. y'' = cos(x+y)-1
679. y'' = cos(-x+y)-1
680. y'' = sin(x+y-1)-1
681. y'' = sin(-x+y-1)-1
682. y'' = cos(x+y-1)-1
683. y'' = cos(-x+y-1)-1
684. y'' = sinh(x+y)-1
685. y'' = sinh(-x+y)-1
686. y'' = cosh(x+y)-1
687. y'' = cosh(-x+y)-1
688. y'' = sinh(x+y-1)-1
689. y'' = sinh(-x+y-1)-1
690. y'' = cosh(x+y-1)-1
691. y'' = cosh(-x+y-1)-1

692. y'' = sqrt(x+y)
693. y'' = sqrt(2x+y)
694. y'' = 1/sqrt(x+y)
695. y'' = 1/sqrt(2x+y)
696. y'' = cbrt(x+y)
697. y'' = cbrt(2x+y)
698. y'' = 1/cbrt(x+y)
699. y'' = 1/cbrt(2x+y)
700. y'' = (x+y)^1.5
701. y'' = (x+y)^2.5
702. y'' = (x+y)^3.5
703. y'' = 1/(x+y)^1.5
704. y'' = 1/(x+y)^2.5
705. y'' = 1/(x+y)^3.5
706. y'' = 1/(x+y)^4
707. y'' = sqrt(x+y+1)
708. y'' = sqrt(2x+y+1)
709. y'' = 1/sqrt(x+y+1)
710. y'' = 1/sqrt(2x+y+1)
711. y'' = cbrt(x+y+1)
712. y'' = cbrt(2x+y+1)
713. y'' = 1/cbrt(x+y+1)
714. y'' = 1/cbrt(2x+y+1)
715. y'' = (x+y+1)^1.5
716. y'' = (x+y+1)^2.5
717. y'' = (x+y+1)^3.5
718. y'' = 1/(x+y+1)^1.5
719. y'' = 1/(x+y+1)^2.5
720. y'' = 1/(x+y+1)^3.5
721. y'' = 1/(x+y+1)^4

722. y'' = x*sqrt(x+y+1)
723. y'' = x*sqrt(2x+y+1)
724. y'' = x/sqrt(x+y+1)
725. y'' = x/sqrt(2x+y+1)
726. y'' = x*cbrt(x+y+1)
727. y'' = x*cbrt(2x+y+1)
728. y'' = x/cbrt(x+y+1)
729. y'' = x/cbrt(2x+y+1)
730. y'' = x*(x+y+1)^0.5
731. y'' = x*(x+y+1)^1.5
732. y'' = x*(x+y+1)^2.5
733. y'' = x*(x+y+1)^3.5
734. y'' = x*(x+y+1)^4
735. y'' = x*(x+y+1)^0.5
736. y'' = x/(x+y+1)^1.5
737. y'' = x/(x+y+1)^2.5
738. y'' = x/(x+y+1)^3.5
739. y'' = x/(x+y+1)^4
......

740. y'' = (x-1)*sqrt(x+y+1)
741. y'' = (x-1)*sqrt(2x+y+1)
742. y'' = (x-1)/sqrt(x+y+1)
743. y'' = (x-1)/sqrt(2x+y+1)
744. y'' = (x-1)*cbrt(x+y+1)
745. y'' = (x-1)*cbrt(2x+y+1)
746. y'' = (x-1)/cbrt(x+y+1)
747. y'' = (x-1)/cbrt(2x+y+1)
748. y'' = (x-1)*(x+y+1)^0.5
749. y'' = (x-1)*(x+y+1)^1.5
750. y'' = (x-1)*(x+y+1)^2.5
751. y'' = (x-1)*(x+y+1)^3.5
752. y'' = (x-1)/(x+y+1)^1.5
753. y'' = (x-1)/(x+y+1)^2.5
754. y'' = (x-1)/(x+y+1)^3.5
755. y'' = (x-1)/(x+y+1)^4

756. y'' = (x^2-1)*sqrt(x+y+1)
757. y'' = (x^2-1)*sqrt(2x+y+1)
758. y'' = (x^2-1)/sqrt(x+y+1)
759. y'' = (x^2-1)/sqrt(2x+y+1)
760. y'' = (x^2-1)*cbrt(x+y+1)
761. y'' = (x^2-1)*cbrt(2x+y+1)
762. y'' = (x^2-1)/cbrt(x+y+1)
763. y'' = (x^2-1)/cbrt(2x+y+1)
764. y'' = (x^2-1)*(x+y+1)^0.5
765. y'' = (x^2-1)*(x+y+1)^2
766. y'' = (x^2-1)*(x+y+1)^3
767. y'' = (x^2-1)*(x+y+1)^4
768. y'' = (x^2-1)/(x+y+1)^0.5
769. y'' = (x^2-1)/(x+y+1)^2
770. y'' = (x^2-1)/(x+y+1)^3
771. y'' = (x^2-1)/(x+y+1)^4

772. y'' = (x^2-4x+4)*sqrt(x+y+1)
773. y'' = (x^2-4x+4)*sqrt(2x+y+1)
774. y'' = (x^2-4x+4)/sqrt(x+y+1)
775. y'' = (x^2-4x+4)/sqrt(2x+y+1)
776. y'' = (x^2-4x+4)*cbrt(x+y+1)
777. y'' = (x^2-4x+4)*cbrt(2x+y+1)
778. y'' = (x^2-4x+4)/cbrt(x+y+1)
779. y'' = (x^2-4x+4)/cbrt(2x+y+1)
780. y'' = (x^2-4x+4)*(x+y+1)^0.5
781. y'' = (x^2-4x+4)*(x+y+1)^1.5
782. y'' = (x^2-4x+4)*(x+y+1)^2.5
783. y'' = (x^2-4x+4)*(x+y+1)^3.5
784. y'' = (x^2-4x+4)/(x+y+1)^1.5
785. y'' = (x^2-4x+4)/(x+y+1)^2.5
786. y'' = (x^2-4x+4)/(x+y+1)^3.5
787. y'' = (x^2-4x+4)/(x+y+1)^4

788. y'' -y^4 =0
789. y'' -y^5 =0
790. y'' -y^6 =0
791. y'' -1/y^4 =0
792. y'' -1/y^5 =0
793. y'' -1/y^6 =0

794. y''*y' -y^5 =0
795. y''*y' -3y^6 =0
796. y''*y' -4y^n =0

797. y'' -x* y * y' =0
798. y'' -x^2* y * y' =0
799. y'' -x^3* y * y' =0
800. y'' -x^n* y * y' =0

801. y'' -y^3 *x =0
802. y'' -y^4 *x =0
803. y'' -y^5 *x =0
804. y'' -y^n *x =0

805. y'' -2y^4 *x =0
806. y'' -2y^5 *x =0
807. y'' -b*y^n *x =0

808. y'' -sqrt(x) *y* y' =0
809. y'' -2sqrt(x) *y* y' =0

810. y'' -x^2 *y* y'=0
811. y''- x^2*y *y' =0
812. y''- x^3*y * y''' =0
813. y''- x^4*y *y''' =0

814. y'' +x*y*y' -x^2=0
815. y'' -x*y*y' +x^2=0

816. y'' - y^2 -x^2=0
817. y''- 2y^2 -8x^2=0
818. y'' +b*y^2 +c x^2=0

819. y'' y' -exp(x)*y^2=0
820. y''-exp(x)*y^2=0

821. exp(x)*y''- y^2=0
822. (x)*y''- y^2=0
823. (x) *y'' - y^3=0
824. (x^2)*y''- y^3=0
825. (x^n)*y''- y^2=0
826. exp(x)*y''- y*y'=0
827. exp(x)*y''- y*y'=0
828. y''-exp(x)*y*y'=0
829. y''-exp(x)*y*y'=0
830. y'' -exp(x)*y'=0
831. y'*y'' -x*y =0
832. y'*y'' -x^2*y^2 =0
833. y'*y'' -x^m*y^n =0

834. y^2*y'' -x =0
835. y^2*y'' -a*x^2 =0
836. y^2*y'' -x^2=0
837. y^2*y'' -x^3=0
838. y^2*y'' -x^n=0
839. y^2*y'' -(1+x)^2=0
840. y^2*y'' -(2+x)^3=0
841. y^2*y'' -(3+x)^n=0
842. exp(x)*y'' - y*y'=0
843. 2exp(x)*y'' - y*y'=0

844. y^3*y'' -x=0
845. y^3*y'' -a*x^2 =0
846. y^3*y'' -x^2=0
847. y^3*y'' -x^3=0
848. y^3*y'' -x^n=0

849. y*y'*y'' =x
850. y*y'*y'' =x^2
851. y*y'*y'' =x^3
852. y*y'*y'' =x^n

853. y'' = exp(x)*y^2
854. y'' = exp(x-1)*y^2
855. y'' = exp(x-c)*y^2

856. y'' = exp(x)*y^3
857. y'' = exp(x-1)*y^3
858. y'' = exp(x-c)*y^3

859. y'' = exp(x)*y^n
860. y'' = exp(x-1)*y^n
861. y'' = exp(x-c)*y^n

862. y'' = exp(y-x-c)
863. y'' = exp(y)*x
864. y'' = exp(y-x)*x
865. y'' = exp(y-x-c)*x
866. y'' = exp(y-x-1)*x^2
867. y'' = exp(y-2x-c)*x^3
868. y'' = exp(y-3x-c)*x^4
869. y'' = exp(y-x-c)*x^5
870. y'' = exp(y)*x^n
871. y'' = exp(y-x)*x^n
872. y'' = exp(y-x-c)*x^n

873. y'' = exp(y-x^2-1)+2
874. y'' = exp(y-x^2-x-2)+2
875. y'' = exp(y-x^3-x-3)+6x
876. y'' = exp(y-x^2-c)+2
877. y'' = exp(y-x^2-x-c)+2
878. y'' = exp(y-x^3-x-c)+6x

879. y^2 *y''-x^2-4x-4=0
880. y^2 *y''-x^2-4x=0
881. y^2 *y''-x^2-4=0

882. 1/y^2 *y''-x^2-4x-4=0
883. 1/y^2 *y''-x^2-4x=0
884. 1/y^2 *y''-x^2-4=0

885. y^4 *y''-x^2-4x-4=0
886. y^4 *y''-x^2-4x=0
887. y^4 *y''-x^2-4=0

888. 1/y^4 *y''-x^2-4x-4=0
889. 1/y^4 *y''-x^2-4x=0
890. 1/y^4 *y''-x^2-4=0

891. y^(1/2) *y''-x^2-4x-4=0
892. y^(1/2) *y''-x^2-4x=0
893. y^(1/2) *y''-x^2-4=0

894. 1/y^(1/2) *y''-x^2-4x-4=0
895. 1/y^(1/2) *y''-x^2-4x=0
896. 1/y^(1/2) *y''-x^2-4=0

897. y*y'' -2x^2-x-1=0
898. y*y'' -x^2=0
899. y*y'' -x^3=0
900. y*y'' -x^n=0
901. y*y'' -(1+x)*(x-2)=0
902. y*y'' -(1+x)*(2x+1)=0
903. y*y'' -(1+x)^2=0
904. y*y'' -(2+x)^3=0
905. y*y'' -(3+x)^n=0
906. y*y'' -2x^2-b* x-c =0
907. y* y''-x^3-3x^2-3x-1=0
908. y* y''-3x^2-3x-1=0
909. y* y''-3x-1=0
910. y* y''-x^2-b*x-c =0
911. y* y''-x^2-b*x =0
912. y* y''-x^2-c =0
913. y* y''-a*x^2-b*x-c =0
914. y* y''-a*x^2-b*x =0
915. y* y''-a*x^2-c =0
916. y* y''-x-c =0
917. y* y''-b*x-c =0

918. y'' *(y-1)-x^2-4x-4 =0
919. y'' *(y-1)-4x^2-4x-1 =0
920. y'' *(y-1)-x^2- 4 =0
921. y'' *(2y-1)-x^2-4x-4 =0
922. y'' *(2y-1)-4x^2-4x-1 =0
923. y'' *(2y-1)-x^2- 4 =0
924. y'' *(2y-1)-4x-4 =0
925. y'' *(2y-1)-x^2 =0
926. y'' *(2y-1)-x =0
927. y'' *(y-x-1)-x^2-4x-4 =0
928. y'' *(y-x-1)-4x^2-4x-1 =0
929. y'' *(y-x-1)-x^2- 4 =0
930. y'' *(y-2x-1)-x^2-4x-4 =0
931. y'' *(y-2x-1)-4x^2-4x-1 =0
932. y'' *(y-2x-1)-x^2- 4 =0

933. y*y'' -x -y'*x =0
934. y*y'' -4x -y'*x =0
935. y*y'' -x -2y'*x =0
936. y*y'' -4x -2y'*x =0

937. y''^2+x^2*y''-2y=0
938. y''^2+x^2*y''-2y=1
939. y''^2+x^2*y''-2y=2
940. y''^2+2x^2*y''-4y=0
941. y''^2+2x^2*y''-4y=1
942. y''^2+2x^2*y''-4y=2

### Third order ode

It cannot seem to solve the high order nonlinear ODE.

943. y'''= y''^2-y'*y
944. y'''= 2y''^2-2y'*y
945. y'''= 3y''^2-3y'*y
946. y'''= -y''^2+y'*y
947. y'''= -2y''^2+2y'*y
948. y'''= -3y''^2+3y'*y

949. y''' -y^2 =0
950. y''' -y^3 =0
951. y''' -y^4 =0
952. y''' -y^5 =0
953. y''' -y^n =0

954. y''' -sqrt(y) =0
955. y''' -cbrt(y) =0
956. y''' = exp(y)
957. y''' -sqrt(x+y) =0
958. y''' -cbrt(x+y) =0
959. y''' = exp(x+y)
960. y''' -sqrt(x^2+y) =0
961. y''' -cbrt(x^2+y) =0
962. y''' = exp(x^2+y)
963. y''' -sqrt(x^2+x+y) =0
964. y''' -cbrt(x^2+x+y) =0
965. y''' = exp(x^2+x+y)
966. y''' -sqrt(y+1) =0
967. y''' -cbrt(y+1) =0
968. y''' = exp(y+1)
969. y''' -sqrt(x+y+1) =0
970. y''' -cbrt(x+y+1) =0
971. y''' = exp(x+y+1)
972. y''' -sqrt(x^2+y+1) =0
973. y''' -cbrt(x^2+y+1) =0
974. y''' = exp(x^2+y+1)
975. y''' -sqrt(x^2+x+y+1) =0
976. y''' -cbrt(x^2+x+y+1) =0
977. y''' = exp(x^2+x+y+1)

978. y''' -2y^2 =0
979. y''' -3y^3 =0
980. y''' -4y^4 =0
981. y''' -5y^5 =0
982. y''' -a*y^n =0

983. y''' -1/y =0
984. y''' -1/y^2 =0
985. y''' -1/y^3 =0
986. y''' -1/y^4 =0
987. y''' -1/y^5 =0
988. y''' -1/sqrt(y) =0
989. y''' -1/cbrt(y) =0
990. y''' = 1/exp(y)

991. y''' -2y^2 *x =0
992. y''' -3y^3 *x =0
993. y''' -4y^4 *x =0
994. y''' -5y^5 *x =0
995. y''' -y^n *x =0

996. y''' -y^m *x =0

997. y''' -2y^2 *x^2 =0
998. y''' -2y^3 *x^2 =0
999. y''' -2y^4 *x^2 =0
1000. y''' -y^5 *x^2 =0
1001. y''' -b*y^n *x^2 =0

1002. y'''-y^2-x^2 =0
1003. y'''-y^2-4x^2 =0
1004. y'''-y^2-x^4 =0
1005. y'''-y^2-4x^4 =0
1006. y'''-x*y^2-x^3 =0
1007. y'''-x^2*y^2-x^4 =0
1008. y'''-x*y^2-x^2* y=0
1009. y'''-x^2*y^2-x^3* y =0

1010. y''' -b*y^m *x^n =0

1011. x*y''' -y* y' =0
1012. x^2*y''' -y* y' =0

1013. y''' -x *y* y' =0
1014. y''' -2x *y* y' =0
1015. y'''' -x *y* y'' =0
1016. y''' -x *y* y' =0

1017. y''' -x^2 *y* y'' =0
1018. y''' -x^3 *y* y'' =0
1019. y''' -x^2 *y* y'' =0

1020. y''' -sqrt(x) *y* y' =0
1021. y''' -sqrt(x) *y* y' =0

1022. y''' -x^2*y * y''' =0
1023. y''' -x^a *y* y''=0

1024. y'''-x^2*y'-x*y-x^2=0
1025. y'''-x^2*y'-x*y-2x^2=0
1026. y'''-x^2*y'-x*y-3x^2=0
1027. y'''-x^2*y'-x*y-c*x^2=0

1028. y'''-x^3*y'-x^2*y-x^3=0
1029. y'''-x^3*y'-x^2*y-2*x^3=0
1030. y'''-x^3*y'-x^2*y-3*x^3=0
1031. y'''-x^3*y'-x^2*y-c*x^3=0

1032. y'''-x*y'-x*y-x =0
1033. y'''-x*y'-x*y-x^2=0
1034. y'''-x*y'-x*y-x^3=0
1035. y''' -x*y'-x*y-x^n=0

1036. y''' -exp(x)*y^2=0
1037. y''' -exp(x)*y^3=0
1038. y''' -exp(x)*y^n=0

1039. exp(x)*y''- y * y''' =0
1040. exp(x) *y''' - y^2=0
1041. exp(x)* y''' - y^3=0
1042. exp(x)* y''' - y^n=0

1043. (x) *y''' - y^2=0
1044. (x) * y''' - y^2=0
1045. (x) * y''' - y^3=0
1046. (x) * y''' - y^p=0

1047. (x^2) *y''' - y^2=0
1048. (x^2) *y''' - y^3=0
1049. (x^n) *y''' - y^2=0
1050. (x^n) *y''' - y^3=0
1051. (x^n)* y''' - y^p=0

1052. y''' -exp(x)*y*y'=0
1053. y''' +exp(x)*y*y'=0

1054. y''' - y*y'=0
1055. exp(x) * y''' - y*y'=0

1056. y''' -exp(x) *y' =0
1057. y''' -exp(x)*y * y'' =0
1058. y''' -exp(x)*y * y' =0

1059. exp(x)*y''' - y * y'' =0
1060. exp(x) * y''' - y* y''=0

1061. 3exp(x)*y''- y * y''' =0
1062. 4exp(x)*y''' - y * y'' =0
1063. a*exp(x) * y''' - y * y'' =0

1064. y'*y''' -x^2 =0
1065. y'*y''' -x^3 =0
1066. y'*y''' -x^4 =0
1067. y'*y''' -x^m =0
1068. y'*y''' -x-c =0
1069. y'*y''' -x^2 -b*x=0
1070. y'*y''' -a*x^2 -b*x-c=0
1071. y'*y''' -x*y =0
1072. y'*y''' -x^2*y^2 =0
1073. y'*y''' -x^m*y^n =0

1074. y^2*y''' -x^2=0
1075. y^2*y''' -x^3=0
1076. y^2*y''' -x^n=0

1077. y^2*y''' -(1+x)^2=0
1078. y^2*y''' -(2+x)^3=0
1079. y^2*y''' -(3+x)^n=0

1080. y^3*y''' -x^2=0
1081. y^3*y''' -x^3=0
1082. y^3*y''' -x^n=0

1083. y^m*y'' -x^n =0
1084. y^m*y''' -x^n =0

1085. y*y'*y''' =x
1086. y*y'*y''' =x^2
1087. y*y'*y''' =x^3
1088. y*y'*y''' =x^n

1089. y*y''*y''' =x
1090. y*y''*y''' =x^2
1091. y*y''*y''' =x^3
1092. y*y''*y''' =x^n

1093. y'*y''*y''' =x
1094. y'*y''*y''' =x^2
1095. y'*y''*y''' =x^3
1096. y'*y''*y''' =x^n

1097. y''' = exp(x)*y^2
1098. y''' = exp(x-1)*y^2
1099. y''' = exp(x-2)*y^2
1100. y''' = exp(x-3)*y^2
1101. y''' = exp(x-c)*y^2

1102. y''' = exp(x)*y^3
1103. y''' = exp(x-1)*y^3
1104. y''' = exp(2x-2)*y^3
1105. y''' = exp(x-3)*y^3
1106. y''' = exp(2x-c)*y^3
1107. y''' = exp(x)*y^m
1108. y''' = exp(a*x-b)*y^m

1109. y''' = exp(y-3x^2-3x-1)
1110. y''' = sqrt(y-3x^2-3x-1)
1111. y''' = cbrt(y-3x^2-3x-1)
1112. y''' = sin(y-3x^2-3x-1)
1113. y''' = sinh(y-3x^2-3x-1)

1114. y''' = exp(y-x^3-3x^2-3x-1)+6
1115. y''' = sqrt(y-x^3-3x^2-3x-1)+6
1116. y''' = cbrt(y-x^3-3x^2-3x-1)+6
1117. y''' = sin(y-x^3-3x^2-3x-1)+6
1118. y''' = tan(y-x^3-3x^2-3x-1)+6
1119. y''' = sinh(y-x^3-3x^2-3x-1)+6
1120. y''' = tanh(y-x^3-3x^2-3x-1)+6

1121. y'*y''' = exp(x)
1122. y'*y''' = exp(x-1)
1123. y'*y''' = exp(x-2)
1124. y'*y''' = exp(x-3)
1125. y'*y''' = exp(x-c)

1126. y'*y''*y''' = exp(x)
1127. y'*y'' = exp(x)*y'''
1128. y''*y''' = exp(x)*y'
1129. y'*y''' = exp(x)*y''
1130. y''' = exp(x) *y' *y''
1131. y''' = exp(x) *y' *y
1132. y''' = exp(x) *y'' *y
1133. y''' = exp(x+y)
1134. y''' = exp(x)*y'
1135. y''' = exp(x)*y''

1136. y''' = exp(y)
1137. y''' = exp(y-1)
1138. y''' = 2exp(y)
1139. y''' = 3exp(y-1)
1140. y''' = y' exp(y)
1141. y''' = y'' exp(y)
1142. y''' y' = exp(y)
1143. y''' y''= exp(y)
1144. y''' = exp(y)
1145. y''' = a *exp(y+c)
1146. y''' = y' *exp(y+c)
1147. y'''* y'' = exp(y+c)

1148. y*y''' -x^2=0
1149. y*y''' -x^3=0
1150. y*y''' -x^n=0
1151. y*y''' -(1+x)*(x+2)*(x+3)=0
1152. y*y''' -(1+x)*(2x+1)*(3x+1)=0
1153. y*y''' -(1+x)^2=0
1154. y*y''' -(2+x)^3=0
1155. y*y''' -(3+x)^n=0
1156. y*y''' -3x^3-b*x^2-c*x-d =0
1157. y*y'''-6x^3-2x^2-2x-1 =0
1158. y*y'''-2x^3-2x^2-2x =0
1159. y*y'''-x^3-2x^2-2x-1 =0
1160. y*y'''-x^3-b*x^2-c*x-d =0
1161. y*y'''-x^3-b*x^2-c*x =0
1162. y*y'''-x^3-b*x^2 =0
1163. y*y'''-x^3-b*x^2-d =0
1164. y*y'''-x^3-c*x-d =0
1165. y*y'''-a*x^3-b*x^2-c*x-d =0
1166. y*y'''-a*x^3-b*x^2-c*x =0
1167. y*y'''-a*x^3-b*x^2 =0
1168. y*y'''-a*x^3-b*x^2-d =0
1169. y*y'''-a*x^3-c*x-d =0
1170. y*y'''- x^2 =0
1171. y*y'''- 2x^2 =0
1172. y*y'''- 3x^2 =0
1173. y*y'''- a*x^2 =0

1174. y* y'''-x^n =0
1175. y* y'''-2x^n =0
1176. y* y'''-3x^n =0
1177. y* y'''-a*x^n-b*x-c =0

1178. y*y'''-y^3-x^2 =0
1179. y*y'''-y^3-4x^2 =0
1180. y*y'''-y^3-x^4 =0
1181. y*y'''-y^3-4x^4 =0
1182. y*y'''-x*y^3-x^3 =0
1183. y*y'''-x^2*y^3-x^2 =0
1184. y*y'''-x*y^3-x^4=0
1185. y*y'''-x^2*y^3-x^6=0
1186. y*y'''-x*y^3-4x^3 =0
1187. y*y'''-x^2*y^3-4x^2 =0
1188. y*y'''-x*y^3-4x^4=0
1189. y*y'''-x^2*y^3-4x^6=0

1190. y*y''' -x -y' =0
1191. y*y''' -2x -y' =0
1192. y*y''' -x -2y' =0
1193. y*y''' -4x -2y' =0

1194. y*y''' -x -y''*x =0
1195. y*y''' -2x -y''*x =0
1196. y*y''' -x -2y''*x =0
1197. y*y''' -4x -2y''*x =0

1198. y'''+y* y''-3x^2-3x-1=0
1199. y'''+y* y''-3x^2-1=0
1200. y'''+y* y''-x^2-b*x-c =0
1201. y'''+y* y''-x^2-b*x =0
1202. y'''+y* y''-x^2-c =0
1203. y'''+y* y''-a*x^2-b*x-c =0
1204. y'''+y* y''-a*x^2-b*x =0
1205. y'''+y* y''-a*x^2-c =0

......

### high order >3 ODE

if the order of all above equations changed to high order, wolfram cannot solve too.
1206. y*y'''' -x^2=0
1207. y*y'''' -x^3=0
1208. y*y'''' -x^n=0
1209. y*y'''' -(1+x)*(x+2)*(x+3)*(x+4)=0
1210. y*y'''' -(1+x)*(2x+1)*(x+2)*(x+3)=0
1211. y*y'''' -(1+x)^2=0
1212. y*y'''' -(2+x)^3=0
1213. y*y'''' -(3+x)^n=0
1214. y*y'''' -a*x^4-b*x^3-c*x^2-d*x-f =0

1215. y'*y'''' -x^2 =0
1216. y'*y'''' -x^3 =0
1217. y'*y'''' -x^4 =0
1218. y'*y'''' -x^m =0
1219. y'*y'''' -x^2 -4x-4=0
1220. y'*y'''' -x^3 -b*x^2-c*x=0
1221. y'*y'''' -a*x^3 -b*x^2-c*x+f=0
1222. y'*y'''' -x*y =0
1223. y'*y'''' -x^2*y^2 =0
1224. y'*y'''' -x^m*y^n =0

1225. y''*y'''' -x^2 -b*x-c=0
1226. y''*y'''' -x^2-c*x=0
1227. y''*y'''' -x-c =0
1228. y''*y'''' -b*x^2-c*x+f=0
1229. y''*y'''' -x^2*y^2 =0
1230. y''*y'''' -x^m*y^n =0

... ...

### fractional order

1231. if the order of all these equations changed to fractional order, wolfram cannot solve too.
1232. It cannot solve fractional calculus
1233. fractional order differential equations,
1234. pi-order differential equations,
1235. negative order differential equations,
1236. complex order differential equations,
1237. variable order differential equations
1238. fractional order integral equations,
1239. double integral equations,
1240. fractional order partial integral equations,
1241. complex order partial differential equations,
1242. Equation of mixed Fractional differential and integral orders
1243. Equation of mixed Fractional partial differential and integral orders

### partial differential equation

1244. if adding a term to above equations become the partial differential equations, wolfram has the same problem.
1245. high order partial differential equations
1246. fractional order partial differential equations,
mathHand.com can solve all above and below examples. wolfram also cannot solve or cannot find simple solution in over 110 examples as follows: ﻿