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**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.