man these problems are long but here goes...

ok i am not sure what im doing wrong but my partial fraction that I am getting is not giving me the right answer...one i have 7 terms and the book has 4 terms in its answer.

$\displaystyle 2y'''+3y''-3y'-2y=e^{-t}$ y(0)=0, y'(0)=0 , y''(0)=1

after making the substitutions i got:

i was hoping someone could tell me where i went wrong....

thanks