# Differential Equations Homework- Find General Solution

1. Mar 29, 2010

### ballajr

1. The problem statement, all variables and given/known data

1) Find the general solution to:
(t2D2 - 2tD - 28I)[y] = (-17 + 48t - 97t2 + 6t3)e-t

2) Find the general solution to:
(D + tI)2[y] = 3 + 3t + 6t2 + t3+ t4

2. Relevant equations

3. The attempt at a solution

1. I think for this one, I just need to distribute the exponential and then use the annhilator method to do some work. I am a bit confused about this differential operators chapter.

2. This one, I just tried to foil out the RHS to find a way to make it equal to the other side, but it didn't work