I need to find the particular solution to the following system of equations using the method of undetermined coefficients.
dx/dt = y + e^t
dy/dt = -2x + 3y + 1
The problem is the forcing terms of the two diff equations are different, that is one is polynomial and the other an exponential. I have no idea what you "guess" the particular solution set to be in this situation.
Any help will be GREATLY appreciated!