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Homework Help: Diff Eq- Convolutions and state-free solution

  1. Jul 18, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the state-free solution


    2. Relevant equations

    I know I have to find the impulse-response, e(t), which is 1/5e^-2t sin(5t).

    3. The attempt at a solution

    The state-free solutions is the convolution of e and f(t). This is the part I'm confused about, because there is only one example given in my book. Do I integrate the product of e(t-u) and f(u)?
    1/5e-2t sin(5t)*y2 +4y2 +29y
    Last edited: Jul 18, 2012
  2. jcsd
  3. Jul 18, 2012 #2


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    What's f(t)? It seems to appear out of nowhere.
  4. Jul 18, 2012 #3
    sorry, f(t) is y2+4y+29
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