I have the following function with the following I.C. y(0)=1 & y'(0)=1(adsbygoogle = window.adsbygoogle || []).push({});

y''-2y'+2y=cost

I apply laplace.

i get the following

s^2Y(s)-Sy(0)-y'(0)-2[sY(s)-y(0)]+2Y(s)= s/(s^2+1)

-------

i apply the initial condtions

and i obtain

Y(S)[s^2-2s+2]=s-2+s/(s^2+1)

therefore, Y(S)=(s-2)/((s-1)^2+1)+S/[(s-1)^2(s^2+1)]

i am not sure how to procede forward.. any help would be appreciated.

sorry for posting and asking so many questions in such a short period.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Laplace problem (new) :|

**Physics Forums | Science Articles, Homework Help, Discussion**