Problem:
Initial-value problem
Using the method of undetermined coefficients, find the solution of the system:
X'=AX + B
that satisfies the initial condition:
X(0)=( 0
1
-1).
A and B are matrices defined.
Note: When solving the homogeneous soln, exhibit a fundamental matrix psi(t) and also the special fundamental matrix phi(t) satisfying phi(0)=I.