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**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.