Solving Impulse-Diffy Equation: y''+2y'+3y=sin(t)+δ(t-3π)

[polarbears]

Homework Statement

$$y''+2y'+3y=sin(t)+\delta (t-3 \pi )$$

Homework Equations

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 don't know how to intergrate it.

 

[rock.freak667]

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


If I remember correctly that is.

 

[polarbears]

thanks=)