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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

Chapter 2 Duhamel's Principle

2.1 Duhamel's Principle
2.2 A Familiar Example