inverse laplace transform of $$ \frac{s^2 +1}{s^2+s-2} {e^{-2s}}$$
I tried solving it like that, but I'm not sure:
1- Apply partial fraction to the f(t) part: $$(\frac{2/3}{s-1} + \frac{-5/3}{s+2}) {e^{-2s}}$$
2.Do the inverse transform and the first shift: $${2/3}{e^{s+2}} + {-5/3}{e^{-2{s+2}}}$$
Is this correct ?