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Homework Help: Laplace transform

  1. Oct 27, 2007 #1
    1. The problem statement, all variables and given/known data
    Given f(t)= 2 if 0<=t<1, and t if t>=1 I need to find the laplace transform.

    2. Relevant equations
    Using the second shifting theorem:
    f(t)= 2(1-u(t-1))+t(u(t-1)), which is the heaviside function.

    3. The attempt at a solution

    The first term, I understand. It is 2-2u(t-1) which I got the transform to be:
    (2/s)-(2/s)(e^-s). The second term I'm a little fuzzy. I think I need to shift the t, so I guess I would have (t-1)u(t-1). But I'm not sure if this is right. So any help is greatly appreciated.
  2. jcsd
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