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Convolution of the step function, three times

  1. Nov 13, 2009 #1
    1. The problem statement, all variables and given/known data

    u(t) * u(t) * u(t)

    * indicates convolution

    2. Relevant equations

    i know u(t) * u(t) = t u(t)

    3. The attempt at a solution

    so (t u(t)) * u(t) = [tex]\int[/tex] [tex]\tau[/tex] d [tex]\tau[/tex] limits of integration are 0 to t
    so the answer is 1/2 t^2 u(t)?
     
  2. jcsd
  3. Nov 16, 2009 #2

    Redbelly98

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    Looks good to me :smile:
     
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