Hi guys!!

I have been working for a long time now with a tricky differential equation. I have managed to get a Laplace-function, which I now would like to invert in order to get a function y(t).

$\displaystyle \mathcal{L}(LHS) = \mathcal{L}(RHS)\;=>\;Y(s)(s^2+64)-44s-144\;=\;\frac{64e^{-\frac{9\pi}{2}s}}{s}$

I don't manage to invert this one. Would really appreciate your help!