Home | science | math | handbook | function | plot | programming | example | help | 中文

Math Handbook Calculator

== `sum_0^oo ` mathHandbook.com

+ - * / ^ ! o `oo` `alpha` `beta` `gamma` `Gamma` `theta` `pi` ( ) ,
sin(x) cos(x) tan(x) cot(x) csc(x) sec(x) `sin^(-1)(x)` `cos^(-1)(x)` `tan^(-1)(x)`
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| 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)^oo`f(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,2)=ds(y,x,2)-ds(y,x)-exp(t)-exp(x))

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



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

Output: $$ dsolve(\frac{d^{{2}}y}{dt^{{2}}}=\frac{d^{{2}}y}{dx^{{2}}}-\frac{d}{dx} y-exp(t)-exp(x)) == (-exp(t))+C_3\ (\frac{1}{2}\ {t}^{2}-x)+exp(x)\ x+C_1\ and\ C_1+C_2\ exp(x) $$ Result:$$(-exp(t))+C_3\ (\frac{1}{2}\ {t}^{2}-x)+exp(x)\ x+C_1\ and\ C_1+C_2\ exp(x)$$



zoom graph by mouse wheel.
Home | list | about | forum | wiki | contact | copyright | index | 中文