Review For Linear Constant-Coefficient Equation that are homogeneous, we can solve it generally in terms of some matrix A as:
\begin{equation} x’ = Ax \end{equation}
if A has enough eigenvectors, we can just write out y(t) = c_1 e^{\lambda_{1}t} v_1 + … + c_{n}e^{\lambda_{n}t} v_{2} But, if we don’t, we can use matrix exponentiation Content eigensolutions