Inverse Laplace Transform

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December 25th 2010, 09:53 PM
kjchauhan

Inverse Laplace Transform

Please help me to find an inverse Laplace Transform :

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

Thanks in advance..
December 25th 2010, 10:14 PM
FernandoRevilla

Use the following:

$(i)\quad\mathcal{L}\{f(t)\}=F(p)\Rightarrow\mathca l{L}\{tf(t)\}=-\dfrac{d}{dp}F(p)$

$(ii)\quad \mathcal{L}\{\sin bt\}=\dfrac{b}{p^2+b^2}$

Fernando Revilla

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