Hi, I've got a homework problem that should be very simple, the previous problem was identical (different numbers) and was a breeze, but this one is giving me problems. Here's what we're asked for:
Apply the eigenvalue method to find the particular solution to the system of differential equations
which satifies the initial conditions
So I begin by finding the eigenvalues from the characteristic equation:
To get the matrices:
Which gives the particular solution
But at this point, no values for a and/or b will satisfy
Can anyone help me out, please?