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Description
VisualDSolve is a Mathematica ebook and accompanying package showing how Mathematica's visualization tools can be used to enhance the viewing of solutions to differential equations. The book contains 18 chapters; the first five serve as a manual to the many functions of the package, and the other 13 are comprehensive examples. The package itself has some new ways of viewing differential equations. Two noteworthy examples are the use of curvy fish shapes to describe the vector fields determined by a differential equation, and the use of colored nullcline regions to describe the different types of directions for an autonomous system of two equations. Note: VisualDSolve is available as a download only. It is compatible with Mathematica 11 or greater. Contents VisualDSolve | Auxiliary Functions | SystemSolutionPlot | PhasePlot | SecondOrderPlot | Differential Equations and Mathematica | Some Parachute Experiments | Linear Systems | Logistic Models of Population Growth | Hamiltonian Systems | A Devilish Equation | Lead Flow in the Human Body | Making a Discus Fly | A Double Pendulum | The Duffing Equation | The Tetrapods of Wada | I Tossed a Book into the Air | Miscellany Related Topics Courseware, Differential Equations |
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