# Inverse Laplace Transform

• Dec 25th 2010, 09:53 PM
kjchauhan
Inverse Laplace Transform
Please help me to find an inverse Laplace Transform :

$L^{-1}\left(\frac{p}{(p^2+a^2)^2}\right)$

$(i)\quad\mathcal{L}\{f(t)\}=F(p)\Rightarrow\mathca l{L}\{tf(t)\}=-\dfrac{d}{dp}F(p)$
$(ii)\quad \mathcal{L}\{\sin bt\}=\dfrac{b}{p^2+b^2}$