## Laplace(f(t), t)

Finds the Laplace Transformation F(s) of the given function f(t).

## Examples

Laplace(Heaviside(t-3)*sin(c*(t-3)), t)
Laplace(f(t)/t, t)
Laplace(t^4*sin(a*t)+sin(b*t)^3, t)
Laplace(1+t-2t^2-3t^3-sin(a*t)-cos(a*t), t)
Laplace(exp(a*t)+c^3-t^2, t)
Laplace(exp(a*t)*sinh(b*t)^3, t)
Laplace(1/sqrt(@pi*t)-1/sqrt(t^3)+sqrt(a*t^3), t)
Laplace((exp(b*t)-exp(a*t))/(2sqrt(@pi*t^3)), t)
Laplace(-6exp(-4t)-3exp(-t)+9exp(-2t), t)
Laplace(t^2*exp(-a*t)/2, t)
Laplace(BesselJ(0, a*t)+BesselJ(0, 2sqrt(k*t)), t)
Laplace(BesselJ(1, a*t), t)
Laplace(BesselI(1, a*t), t)
Laplace(Erf(a*t), t)
Laplace(Erf(a*sqrt(t)), t)
Laplace(Erfc(a*sqrt(b*t)), t)
Expand(Laplace((t+3)^(3/2), t))
Laplace(t^3*f(t), t)
Laplace(R*i(t)+L*d(i(t), t)=u(t), t)
Solve_Equation(Laplace(R*i(t)+L*d(i(t), t)=u(t), t), I(s))
Laplace(f(t)*sin(3t), t)
Laplace(t^4*f(t)*sin(3t), t)
Laplace(f(t)*cos(2t)/t, t)
Laplace(R*i(t)+1/C*I(i(t), t)=U, t)
Solve_Equation(Laplace(R*i(t)+1/C*I(i(t), t)=U(t), t), I(s))

## References

http://mathworld.wolfram.com/LaplaceTransform.html
http://en.wikipedia.org/wiki/Laplace_transform

iLaplace