1. ## dirac delta functions...

ok im doing this problem and its not working out for me and i was wondering if someone could look it over...let y(0)=1 and y'(0)=0

$y''+4y'+13y=\delta (t-\pi )\delta +(t-3\pi )$

$s^2Y(s)-s+4sY(s)+13Y(s)=e^{-\pi s}+e^{-3\pi s}$

and so i got...

$Y(s)=\frac{e^{-\pi s}+e^{-3\pi s}+s}{s^2+4s+13}$

according to my text, this is wrong...

any help would be appreciated..