ch4_4.mw

Session 4.4 Some Laplace Transforms

> restart;

> with(inttrans):

This package is necessary for Maple to recognize the laplace/invlaplace commands

> Fs1:=laplace(2+2*t+5*t^2,t,s);

Fs1 := 2/s+2/s^2+10/s^3

> ft1:=invlaplace(Fs1,s,t);

ft1 := 2+2*t+5*t^2

> Fs2:=laplace(sin(2*t),t,s);

Fs2 := 2/(s^2+4)

> ft2:=invlaplace(Fs2,s,t);

ft2 := sin(2*t)

> ft_imp:=invlaplace(1/((s^2+1)*(1-exp(-s))),s,t);

Even Maple cannot always find the inverse Laplace of a function.

ft_imp := invlaplace(1/((s^2+1)*(1-exp(-s))), s, t)

>