**1. The problem statement, all variables and given/known data**
Hey! I have tried to solve this problem but I get stuck when it comes to the inverstransforming. Anyway here is the problem and my attempt to a solution:

Solve

for f(t)

**3. The attempt at a solution**
Laplacetransforming:

Solving F(s)

I dont know what to do now, with the inverstransform? And the F(s) feels wrong..Is my Laplacetransforming correct? I have tried to use the convolution theorem..but I dont know if I used it correct..

Thanks! =)