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.
An Introduction to Mathematica
| An 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