The problem statement, all variables and given/known data [tex]2y''-3y'+2y=x^3-5x+2[/tex] The attempt at a solution I recognized the R.H.S. as a polynomial of degree 3, so i have to expand up to [itex]D^3[/itex] The answer i got is quite close to that in my notes, except for one coefficient, so i was hoping someone could check it. It's a very long problem so i don't know if i should type all the steps here from my copybook. Please let me know. The answer in my notes: http://s1.ipicture.ru/uploads/20120201/pdG4AE7V.png The answer that i got is a different coefficient for x. So, i got 4x instead of 10x, but everything else is exactly as the answer that i'm supposed to get. I checked my long calculations and it appears to be correct, although it's a nagging feeling to be unsure about whether my entire method is flawed or not.