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Math Handbook Calculator

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sinh(x) cosh(x) tanh(x) coth(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| 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)`
f(x) = x; `sum_(x=0)^5`(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^((1))(x)` y' y''








Input:
dsolve(x(2,t)=x,y(2,t)=2x-y)

Write:
`dsolve(x(2,t)=x,y(2,t)=2x-y)`



Compute:
$$dsolve(x^{(2)}(t)=x,y^{(2)}(t)=2\ x-y)$$

Output:
$$dsolve(x^{(2)}(t)=x,y^{(2)}(t)=2\ x-y)== x=C_2\ exp(t)+C_1\ exp((-t)), y=C_1\ cos(t)+2\ (\frac{1}{2}\ C_2\ exp(t)+\frac{1}{2}\ C_1\ exp((-t)))+C_2\ sin(t)$$ Result: $$x=C_2\ exp(t)+C_1\ exp((-t)), y=C_1\ cos(t)+2\ (\frac{1}{2}\ C_2\ exp(t)+\frac{1}{2}\ C_1\ exp((-t)))+C_2\ sin(t)$$



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