Find the inverse Laplace transform by using the partialfraction expansion method. (frac{4 s+5}{s^{2}left(s^{2}+4 s+5 ight)})

Find the inverse Laplace transform by using the partialfraction expansion method.

\(\frac{4 s+5}{s^{2}\left(s^{2}+4 s+5\right)}\)