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MTH 256 Supplement to Judson's “The Ordinary Differential Equations Project”
David Froemke, Heiko Spoddeck
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Front Matter
Colophon
Acknowledgements
Attributions
1
A First Look at Differential Equations
1.1
Modeling with Differential Equations
1.1
Exercises
1.2
Separable Differential Equations
1.2
Exercises
1.3
Geometric and Quantitative Analysis
1.3
Exercises
1.4
Analyzing Equations Numerically
1.4
Exercises
1.5
First-Order Linear Equations
1.5
Exercises
1.6
Existence and Uniqueness of Solutions
1.6
Exercises
1.7
Bifurcations
1.7
Exercises
2
Systems of Differential Equations
2.1
Modeling with Systems
2.1
Exercises
2.2
The Geometry of Systems
2.2
Exercises
2.3
Not Covered
2.4
Solving Systems Anaytically
2.4
Exercises
3
Linear Systems
3.1
Not Covered
3.2
Planar Systems
3.2
Exercises
3.3
Phase Plane Analysis of Linear Systems
3.3
Exercises
3.4
Complex Eigenvalues
3.4
Exercises
3.5
Repeated Eigenvalues
3.5
Exercises
4
Second-Order Linear Equations
4.1
Homogeneous Linear Equations
4.1
Exercises
4.2
Forcing
4.2
Exercises
4.3
Sinusoidal Forcing
4.3
Exercises
4.4
Forcing and Resonance
4.4
Exercises
5
Not Covered
6
The Laplace Transform
6.1
The Laplace Transform
6.1
Exercises
6.2
Solving Initial Value Problems
6.2
Exercises
6.3
Delta Functions and Forcing
6.3
Exercises
6.4
Convolution
6.4
Exercises
Section
2.3
Not Covered
We are not covering this section in our course.
