# Impulse-Diffy eq.

1. Dec 14, 2009

### polarbears

1. The problem statement, all variables and given/known data
$$y''+2y'+3y=sin(t)+\delta (t-3 \pi )$$

2. Relevant equations

3. The attempt at a solution
Left side is just $$Y(s)*(s^2+1)-1$$
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.

2. Dec 14, 2009

### rock.freak667

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

If I remember correctly that is.

3. Dec 14, 2009

### polarbears

thanks=)

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