(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1) Find the general solution to:

(t^{2}D^{2}- 2tD - 28I)[y] = (-17 + 48t - 97t^{2}+ 6t^{3})e^{-t}

2) Find the general solution to:

(D + tI)^{2}[y] = 3 + 3t + 6t^{2}+ t^{3}+ t^{4}

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

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

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: Differential Equations Homework- Find General Solution

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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