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Simple step function, Laplace transform

  1. Mar 3, 2013 #1
    1. The problem statement, all variables and given/known data
    A system is characterized by the equation y' + 3y = r' .

    When the input is r(t) = u(t) - u(t-1), find y(t) by taking the inverse Laplace transform of Y(s).

    2. Relevant equations
    The Laplace transform integral
    The Laplace transform of a derivative sF(s) - f(0)

    The transfer function of the system Q = s/s+3

    The impulse response qimp(t) = δ(t) - 3e-3t

    3. The attempt at a solution
    I'm really not sure what to do here. It seems like it should be simple enough but I feel like I am not understanding the question correctly. Any hints?
  2. jcsd
  3. Mar 3, 2013 #2
    Nevermind, got it.
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