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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''+y=\delta (t-2\pi )cos(t)[/tex]
    [tex]y(0)=0,y'(0)=1[/tex]


    2. Relevant equations



    3. The attempt at a solution
    The left side is (s^2+1)Y(s)-1=RHS

    My problem is the fact that cosine is being multiplied by the delta function. I put it in the form of an intergral but I dont know what to do from there.
     
  2. jcsd
  3. Dec 15, 2009 #2

    HallsofIvy

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    Science Advisor

    Well, good! Delta functions usually make integrals trivial. What integral did you get?
     
  4. Dec 15, 2009 #3
    hmm, i dont know what is this question, may i know, what topic should i study for this question?
     
  5. Dec 15, 2009 #4
    Differential Equations -Laplace transforms

    OHHHH waitttt does the delta function just determine the bound of my intergral?
     
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