Skip to main content

\(\newcommand{\lcm}{\operatorname{lcm}} \renewcommand{\Re}{\mathrm{Re}} \renewcommand{\Im}{\mathrm{Im}} \newcommand{\bvec}[2]{\begin{bmatrix} #1 \\ #2 \end{bmatrix}} \newcommand{\bmat}[4]{\begin{bmatrix} #1 \amp #2 \\ #3 \amp #4 \end{bmatrix}} \fontsize{50}{60} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)

Math 292 PreTeXt Textbook: Differential Equations

I Variation of Parameters
1 Variation of Parameters
2 Duhamel's Principle
- Duhamel's Principle
- A Familiar Example
II Nonhomogeneous Linear Systems
3 Nonhomogeneous Linear Systems (Constant Matrix)
4 Matrix Exponentials
- Definition of \(\exp(A)\)
III Series Solutions
5 Ordinary/Regular Singular Points
- Definitions
- Examples of Regular Singular Points
6 Series Solutions around an Ordinary point
- The Method
- Ordinary Point Solution Example
7 Series Solutions around a Regular Singular Point
- Frobenius' Method
- An Involved Example

Authored in PreTeXt

Part I Variation of Parameters

1 Variation of Parameters
2 Duhamel's Principle