1. The problem statement, all variables and given/known data Solve the inhomogeneous differential equation dX/dt=AX+B in terms of the solutions to the homogeneous equation dX/dt=AX. 2. Relevant equations A is an nxn real or complex matrix and X(t) is an n-dimensional vector-valued function. If v is an eigenvector for A with eigenvalue a, then X=v*ea*t is a particular solution to the differential equation dX/dt=AX. And the general solution of the homogenous eqn is X=P-1*Xtilda. 3. The attempt at a solution So, the general solution of the inhomogeneous equation should be a particular solution of the inhomogenous equations + the general solution of the homogeneous equation. We know the general part, but I am lost on how to find the particular solution for an inhomogeneous equation. Any help would be apprecaited!