Using Laplace Transform I was asked to solved this eq.

$\displaystyle

\frac{{d^2 y}}

{{dx^2 }} + 4\frac{{dy}}

{{dx}} + 13y = 145\cos 2t

$ $\displaystyle

{\text{ }};y(0) = 9

$ and $\displaystyle

\left. {\frac{{dy}}

{{dx}}} \right|_{t = 0} = 19

$

I've try it but I gotY(s)that I couldn't find its inverse ... help

thank you