Linear Algebra with Differential Equations/Heterogeneous Linear Differential Equations

Introduction

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

${𝐗}^{\prime }=𝐀𝐗+𝐆(t)$

There are four reasonable ways to solve this.

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