F(s) = 2*e

^{-2s}/s

^{2}-4.

Things I know:u

_{c}(t) is the L

^{-1}of e

^{-cs}/s.

The inverse Laplace of a/s

^{2}-a

^{2}and s/s

^{2}-a

^{2}are sinh and cosh, respectively.

Things I don't know: How to solve this equation.

How to solve Laplace transforms in general (especially when it seems like there are many different transforms in the same equation.)

Can anybody help me?