I am simply trying to understand the way this system was solved in the text:
The two eigenvalues and corresponding eigenvectors that were found were:
Therefore we know the homogeneous part of the solution. Now Since:
we guess by method of undetermined co-efficients that the particular solution has the form:
So now sub this into the original Equation which will give:
and collect terms to get:
I understand how to find a, c, d. But I'm not following the steps needed to find b, I know that we can find a because it is an eigenvalue of A, but with this info. how do we now find b?
Thanks in Advance