Impulse-Diffy eq. (1 Viewer)

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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.


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

If I remember correctly that is.

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