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Convolution Laplace Transform

  1. Dec 8, 2004 #1
    Can anyone get me started with the following transforms using convolution theory?

    L^-1 {1 / (s^2+k^2)^2}


    L^-1 {8 / (s^2+1)^3}

    Any help would be greatly appreciated


  2. jcsd
  3. Dec 8, 2004 #2
    if [tex]\tilde{f}[/tex] denotes the Laplace transform

    [tex]\widetilde{f * g}(s)=\tilde{f}(s)\tilde{g}(s)[/tex]

    use this with known inverse Laplace transforms.

    You can check your results using partial fractions also.
    Last edited: Dec 8, 2004
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