# Thread: Help with Inverse Laplace Transform

1. ## Help with Inverse Laplace Transform

I don't know how to get the inverse laplace transform of this

F(S)= .(s+1)^2
. . ---------
. . (s+2)^4

2. Maybe it will become clearer if you split it up into partial fractions:

$\frac{(1+s)^2}{(s+2)^4} = \frac{1}{(s+2)^2} - \frac{2}{(s+2)^3} + \frac{1}{(s+2)^4}$

Let me know if you're still stuck as I've worked through the question.

Another hint if you want it:

Spoiler:
$\mathcal{L} \left\{t^n f(t)\right\} = (-1)^n \bar{f}^{(n)}(p)$

3. thanks I've pretty much got it now