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Math Help - Inverse Laplace Transform through Convolution

  1. #1
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    Inverse Laplace Transform through Convolution

    Hi, guys.
    Please I need help for this inverse Laplace transform, the method requested is convolution.

    L^{-1}\left\{{\displaystyle\frac{s}{(s^2 + 4)^2}}\right\}
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by timh View Post
    Hi, guys.
    Please I need help for this inverse Laplace transform, the method requested is convolution.

    L^{-1}\left\{{\displaystyle\frac{s}{(s^2 + 4)^2}}\right\}
    \mathcal{L}^{-1}\left\{\frac{s}{(s^2+4)^2}\right\}=\cos(2t)*\tfr  ac{1}{2}\sin(2t).

    Can you carry out the convolution process?
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  3. #3
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    In the process of convolution is where I have problems because at eval the integral from 0 at t, the value becomes 0. I integrate by parts.
    Greets.
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