# Thread: non homogeneous general solution to d^2x/dt^2 + 2dx/dt-3x=5e^-t+sin3t

1. ## non homogeneous general solution to d^2x/dt^2 + 2dx/dt-3x=5e^-t+sin3t

Could anyone check my work:

Question is, find the general soultion of the following DE

d^2x/dt^2 + 2dx/dt-3x=5e^-t+sin3t

The answer i got was =

Ae^t + Be^-3t - 5/4e^-t -1/10sin 3t

2. In order for anyone to check your work, you will have to show some work. Just dropping your final answer doesn't help anyone.

What methods did you use? What difficulties did you encounter?

3. I didn't check your arithmetic, but generally, this is a thing of beauty! Very neat. Very easy to follow. Just check your arithmetic when you substituted at the bottom of the first page. If you believe it, you're done - and VERY nicely.

4. Originally Posted by Flatty
Wow.

I think most instructors would kill to have a student like you!

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