Can somebody help me derive the inverse Laplace transform of this function: 2s/ (s^2 +1)^2?

Answer 1

you will need the convolution theorem to solve this. split the function as: 2{(s/(s^2+1))*(1/(s^2+1))} and then apply the theorem, which should be illustrated in many books...

Answer 2

Well this looks like the first derivative of K / (s^2 +1 ), where K is some value to make it true.

1 / (s^2 + 1) looks like cosine/sine to me.

I'm sure there's a table of properties in your book. Find out what the inverse of 1/(s^2+1). then scale by K. then apply the derivate property.