VisualDSolve

Stan Wagon and Dan Schwalbe, downloadable Mathematica application.

VisualDSolve is a Mathematica package and accompanying e-book showing how Mathematica's visualization tools can be used to enhance the viewing of solutions to differential equations. The book contains 17 chapters; the first five serve as a manual to the many functions of the package, and the other 12 are comprehensive examples. The package itself has some new ways of viewing differential equations. Two noteworthy examples are (1) the use of curvy fish shapes to describe the vector fields determined by a differential equation and (2) the use of colored nullcline regions to describe the different types of directions for an autonomous system of two equations.

Chapters
VisualDSolve | Auxiliary Functions | SystemSolutionPlot | PhasePlot | SecondOrderPlot | Differential Equations and Mathematica | Some Parachute Experiments | Logistic Models of Population Growth | Linear Systems | Hamiltonian Systems | A Devilish Equation | Lead Flow in the Human Body | Making a Discus Fly | Double Pendulum | The Duffing Equation | The Tetrapods of Wada | Rigid Bodies | Appendices

This application is available in the Wolfram Research bookstore.

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