Solve by Laplace Transforms.
So I'm stuck on how to find this $\mathcal{L}^{-1}$ $( \frac{\frac{5s}{4} + \frac{13}{4}}{s^2+5s+8} ) $
I'm not sure what t odo. I was thinking I need to use the $\cos(at)$ and $\sin(at)$ formulas but i'm not sure... Any help would be great