A Mathematica Companion for Differential Equations

Selwyn Hollis, 2003, Prentice Hall, 271 pp., paperback

This text is designed to be used for a typical two-semester course in differential equations. It emphasizes numerical solutions and graphics and uses Mathematica extensively for animations and vizualizations. It covers topics from fundamental concepts through nonlinear systems, Sturm-Liouville eigenvalue problems, and the diffusion and wave equations.

Chapters
Introduction to Mathematica | Introduction to Differential Equations | Linear First-Order Equations and Applications | Nonlinear First-Order Equations and Applications | Approximation of Solutions | Coupled Pairs of First-Order Equations | Second-Order Equations and Applications | Linear Differential Systems | Nonlinear Autonomous Systems in the Plane | A Gallery of Nonlinear Systems | Fourier Series and Sturm-Liouville Eigenvalue Problems | Linear Partial Differential Equations | Appendix: The DiffEqs Packages

This book is available in the Wolfram Research bookstore.