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Math 292 PreTeXt Textbook:
Differential Equations
Contents
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Contents
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I
Variation of Parameters
1
Variation of Parameters
Variation of Parameters
Some Basic Examples
More Involved Examples
Exercises
2
Duhamel's Principle
Duhamel's Principle
A Familiar Example
II
Nonhomogeneous Linear Systems
3
Nonhomogeneous Linear Systems (Constant Matrix)
Intro to Linear Systems
Method 1: Solving
x
′
=
A
x
+
g
(
t
)
A Basic Example
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
3
Nonhomogeneous Linear Systems (Constant Matrix)
3.1
Intro to Linear Systems
3.2
Method 1: Solving
x
′
=
A
x
+
g
(
t
)
3.3
A Basic Example