Session 4.4 Some Laplace Transforms

> with(inttrans):

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

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

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

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

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

> simplify(%);

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

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

>