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Laplace transform of (e^-s) / [ (s)(s-3) ]

  1. Jun 11, 2016 #1
    1. The problem statement, all variables and given/known data

    find the laplace transform of (e^-s) / [ (s)(s-3) ]

    since there's (e^-s) which can be found in L { f(t-a) H(t-a) } = (e^-(as)) F(s) , so , i found a = 1 , then i found F(s) = 1/ [ (s)(s-3) ] , formula :
    HGbjXV9.jpg

    i have attached the working below , is it correct ? btw , the author's ans doesnt have H(t-a) , is the author's ans wrong ?
    author's ans :

    2v2kPyD.jpg

    2. Relevant equations


    3. The attempt at a solution
    my working :
    AD0HQrk.png

    which is correct ? the author ? or me ?
     
    Last edited: Jun 11, 2016
  2. jcsd
  3. Jun 12, 2016 #2

    Ray Vickson

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    Homework Helper

    There is no way that an author would have asked you to find the Laplace transform of ##e^{-s}/(s(s-3))##. Are you sure it does not ask for the INVERSE Laplace transform? There is a huge difference between these two concepts.
     
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