Thread: Undetermined coefficients to find general solution to system

Hi,
I'm having a bit of trouble with a problem here.

The question is: Use the Method of undetermined coefficients to Find the general solution to th system:

dx/dt = y + e^t
dy/dt = -2x + 3y + 1

I've got the homogenous solution fine, however I'm having a bit of difficulty with the particular solution.

I used xp = [ ctwe^t + ue^t ] where w was [1,1]^T but i know this trial doesnt include the 1 term and is therefore incorrect.

Can someone let me know what I'm supposed to do as a trial solution in this case. It's not explained in my notes, and I've looked online but to no avail.

Thanks!
Mike

Originally Posted by mslodyczka

bump!

Please don't "bump." Not only is it rude, but if no one had the time or the ability to answer your question before, the situation isn't all that likely to have changed.

-Dan

sorry mate, i bumped for those people who might not have seen the thread as it had dropped quite a bit down the page.