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= `sum_0^oo ` mathHandbook.com

+ - * / ^ ! o `oo` `alpha` `beta` `gamma` `Gamma` `theta` `pi` ( ) ,
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sinh(x) cosh(x) tanh(x) `sinh^(-1)(x)` `cosh^(-1)(x)` `tanh^(-1)(x)`
x `x^2` `sqrt(x)` `root3(x)` `e^-x` exp(x) ln(x) log(x) `log_10 (x)` |x| sgn(x) `C_x^2` `H_x^2`
x! `Gamma(x)` `gamma(2,x)` `psi(x)` erf(x) `Phi(x)` Ei(x) li(x) si(x) `zeta(x)` `E _0.5 (x^0.5)`
f(x) = x; `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' `y^((1))(x)`







Input:
dsolve(ds(y,t,0.5)-ds(y,x,2)-ds(y,x)-cos(t)-exp(x))

Write:
`dsolve(ds(y,t,0.5)-ds(y,x,2)-ds(y,x)-cos(t)-exp(x))`



Compute: $$dsolve(\frac{d^{{0.5}}y}{dt^{{0.5}}}-\frac{d^{{2}}y}{dx^{{2}}}-\frac{d}{dx} y-cos(t)-exp(x))$$

Output: $$ dsolve(\frac{d^{{0.5}}y}{dt^{{0.5}}}-\frac{d^{{2}}y}{dx^{{2}}}-\frac{d}{dx} y-cos(t)-exp(x)) == C_1+cos((-0.25)\ \pi +t)+C_2\ exp((-x))-\frac{1}{2}\ exp(x)+C_3\ (1.1283791670955126\ \sqrt{t}+x) $$ Result:$$C_1+cos((-0.25)\ \pi +t)+C_2\ exp((-x))-\frac{1}{2}\ exp(x)+C_3\ (1.1283791670955126\ \sqrt{t}+x)$$



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