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Homework Help: Impulse-Diffy eq.

  1. Dec 14, 2009 #1
    1. The problem statement, all variables and given/known data
    [tex]y''+2y'+3y=sin(t)+\delta (t-3 \pi )[/tex]

    2. Relevant equations

    3. The attempt at a solution
    Left side is just [tex] Y(s)*(s^2+1)-1[/tex]
    But I don't know how to deal with the delta function, I made it into just an intergral but I dont know how to intergrate it.
  2. jcsd
  3. Dec 14, 2009 #2


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    Homework Helper

    [tex]L[\delta(t-t_0)]=e^{-t_0 s}[/tex]

    If I remember correctly that is.
  4. Dec 14, 2009 #3
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