Home | math | handbook | dictionary | function | eq. | graphics | coding | example | help | ? | 中文

AI Math Handbook Calculator

+ - * / ^ ! ^o `oo` `alpha` `beta` `gamma` `Gamma` `delta` `theta` `pi` and ( )
sin(x) cos(x) tan(x) cot(x) sec(x) csc(x) `sin^(-1)(x)` `cos^(-1)(x)` `tan^(-1)(x)`
sinh(x) cosh(x) tanh(x) coth(x) `sinh^(-1)(x)` `cosh^(-1)(x)` `tanh^(-1)(x)`
f(x)= x `x^2` `sqrt(x)` `root3(x)` `e^-x` exp(x) ln(x) log(x) `log_10 (x)` |x| W(x) `((3),(x))`
x! x!! `Gamma(x)` `gamma(2,0,x)` `psi(x)` erf(x) `Phi(x)` Ei(x) li(x) si(x) `zeta(x)` `E _0.5 (x^0.5)`
`sum_(x=0)^5`(x) `int ` `int`y(x) dx `int y(x) (dx)^0.5` `int_0^1` sin(x) dx `d/dx`y(x) `(d^(1) y)/dx^(1)` `y^((1))(x)` y' y''

Input:
dsolve(y(2,x)-x*y(1,x)-x*y-x)

Write:
`dsolve(y(2,x)-x*y(1,x)-x*y-x)`

Compute:
$$dsolve(y^{(2)}(x) - x\ y^{(1)}(x) - x\ y - x)$$

Output:
$$dsolve(y^{(2)}(x) - x\ y^{(1)}(x) - x\ y - x)== -1+C_1\ exp(-x)\ (-2-x)+C_2\ ((-2)\ exp(2+x+\frac{1}{2}\ {x}^{2})+1.4142135623730951\ erfi(\sqrt {2}+\sqrt {\frac{1}{2}}\ x)\ exp(-x)\ \sqrt{\pi }\ (2+x))$$

Result: $$-1+C_1\ exp(-x)\ (-2-x)+C_2\ ((-2)\ exp(2+x+\frac{1}{2}\ {x}^{2})+1.4142135623730951\ erfi(\sqrt {2}+\sqrt {\frac{1}{2}}\ x)\ exp(-x)\ \sqrt{\pi }\ (2+x))$$

fill zoom graph by mouse wheel.

Home | list | about | wiki | forum | contact | donate | index | ? | 中文