Inverse Laplace transform problem 1

Hello,

I got the following differential equation :

Transforming this into a Laplace equation and computing the transfer function, I get :

Where I get into trouble is to obtain the inverse transformation. It seems probably silly. I do not have any problem solving more complex equations using partial fractions, but trying, this does not seem to apply here :

(Headbang)

What am I missing here?

Thanks,

Jurgen

Reply : Inverse Laplace transform problem 1

Why not? I have controlled the answer above yours, which says

which then translates to