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Laplace Transformation Convolution Integral

  1. Sep 18, 2013 #1
    1. The problem statement, all variables and given/known data

    I need to find the laplace transformation of the following function (and it's ok to leave it expressed as an integral). After doing the initial steps and algebra I got

    Y(s)= g(t)/(s+2)^2 + 7(1/(s+2)^2)+ 2(1/(s+2)^2)

    the answer is y(t)=2e^-2t +te^-2t +∫(t-τ)e^-2(t-τ) g(τ) dτ

    We are allowed to use laplace transformation tables but what I don't understand is how to factor the terms in the Y(s) equation into a form which correlates in the base transformations. Any help would be great. Thanks



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 18, 2013 #2

    LCKurtz

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    Why is there a ##t## variable in your expression for ##Y(s)##?
     
  4. Sep 18, 2013 #3
    My bad it's G(s) which is not explicitly defined
     
  5. Sep 19, 2013 #4

    vela

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    Is there some reason you didn't combine the last two terms into 9/(s+2)2?

    If this is the answer, you need to recheck your earlier work for errors.
     
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