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 Contents and Preface

0. Introduction to Mathematica

1. Introduction to Differential Equations

2. Linear First-Order Equations and Applications

3. Nonlinear First-Order Equations and Applications

4. Approximation of Solutions

5. Coupled Pairs of First-Order Equations

6. Second-Order Equations and Applications

7. Linear Differential Systems

8. Nonlinear Autonomous Systems in the Plane

9. A Gallery of Nonlinear Systems

10. Fourier Series and Sturm-Liouville Eigenvalue Problems

11. Linear Partial Differential Equations

Appendix. The DiffEqs Packages

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