1. ## Factorization

Hy!

Can someone give me a hint how to factorise

$\frac{s^2}{(s^2+1)^2}=$

, im supposed to do an inverse Laplace transformation...

2. Originally Posted by Pinsky
Hy!

Can someone give me a hint how to factorise

$\frac{s^2}{(s^2+1)^2}=$

, im supposed to do an inverse Laplace transformation...
$\mathcal{L}^{-1}\left(\frac{s}{(s^2+1)}\right) = \cos t \, u(t)$

$\Rightarrow \mathcal{L}^{-1}\left(\frac{s}{(s^2+1)}\right)^2 = \cos t \, u(t) * \cos t \, u(t)$

3. Originally Posted by Pinsky
Hy!

Can someone give me a hint how to factorise

$\frac{s^2}{(s^2+1)^2}=$

, im supposed to do an inverse Laplace transformation...
Don't you have a table of Laplace Transforms? You can just look it up its a standard form.

RonL