Impulse-Diffy eq.

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


Science Advisor
Well, good! Delta functions usually make integrals trivial. What integral did you get?
hmm, i dont know what is this question, may i know, what topic should i study for this question?
Differential Equations -Laplace transforms

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

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