Linear Algebra with Differential Equations/Heterogeneous Linear Differential Equations

Introduction

We now tackle the problem of $\mathbf {G} (t)$ being nonzero, so that we have the following problem:

$\mathbf {X} '=\mathbf {AX} +\mathbf {G} (t)$

There are four reasonable ways to solve this.

• Diagonalization
• Method of Undetermined Coefficients
• Variation of Parameters
• Laplacian Transforms