Linear Algebra with Differential Equations

As the title suggests, we assume you have prior knowledge of differential equations and linear algebra separately.

The book is structured into three main chapters, each with an important introduction that itself introduces material (So don't just skim over it thinking it's part of an outline) and then leads into method-heavy subsections. Other than that, enjoy!

Contents

Homogeneous Linear Differential Equations

• Real, Distinct Eigenvalues Method
• Imaginary Eigenvalues Method
• Repeated Eigenvalue Method

Heterogeneous Linear Differential Equations

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