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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:
pdsolve(ds(y,t,2)-a^2*ds(y,x,2)-a^2*ds( y,u,2))

Write:
`pdsolve(ds(y,t,2)-a^2*ds(y,x,2)-a^2*ds( y,u,2))`


Compute:
$$pdsolve(\frac{d^{{2}}y}{dt^{{2}}} - {a}^{2}\ \frac{d^{{2}}y}{dx^{{2}}} - {a}^{2}\ \frac{d^{{2}}y}{du^{{2}}})$$

Output:
$$pdsolve(\frac{d^{{2}}y}{dt^{{2}}} - {a}^{2}\ \frac{d^{{2}}y}{dx^{{2}}} - {a}^{2}\ \frac{d^{{2}}y}{du^{{2}}})== 2\ C_1+C_2\ u+C_2\ x+2\ C_1\ ((-0.5)\ {u}^{2}+0.5\ {x}^{2})+0.5\ {x}^{2}\ y^{(2)}(t)$$


Result: $$2\ C_1+C_2\ u+C_2\ x+2\ C_1\ ((-0.5)\ {u}^{2}+0.5\ {x}^{2})+0.5\ {x}^{2}\ y^{(2)}(t)$$
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