how would i go about finding the Laplace inverse of:
$$\frac{2s}{(s^2+5)^2}$$
Was hoping partial fractions would simplify this for me, but to no avail. I only have the Laplace transform of some basic functions to compare with:
$\sin$
$\cos$
$t^n$
$t$
$1$
It looks like a cosine but, solution says something else.
You probably also know how what will happen when you differentiate a Laplace transform. Hint: what is the derivative of $$ \frac{1}{s^2+5}\:? $$