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.

v t e Linear Algebra with Differential Equations
Book's main Page: Linear Algebra with Differential Equations
Homogeneous Linear Differential Equations	Real, Distinct Eigenvalues Method • Imaginary Eigenvalues Method • Repeated Eigenvalue Method
Heterogeneous Linear Differential Equations	Diagonalization • Method of Undetermined Coefficients • Variation of Parameters • Laplacian Transforms
Non-Linear Differential Equations
This template is to be used on all pages of the book Linear Algebra with Differential Equations.