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Math Help - Inverse Laplace Transform

  1. #1
    Member kjchauhan's Avatar
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    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..
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    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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