## Differential Equations with Mathematica, Revised for Mathematica 3.0This book changes the emphasis in the traditional ordinary differential equations (ODE) course by using a mathematical software system to introduce numerical methods, geometric interpretation, symbolic computation, and qualitative analysis into the course in a basic way. Includes concise instructions for using Mathematica on three popular computer platforms: Windows, Macintosh, and the X Window System. It focuses on the specific features of Mathematica that are useful for analyzing differential equations, and it also describes the features of the Mathematica "Notebook" interface that are necessary for creating a finished document. |

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### Contents

Introduction | 1 |

Getting Started with Mathematica | 9 |

Mathematica in the X Window System | 16 |

Copyright | |

15 other sections not shown

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### Common terms and phrases

Airy's equation approximate solution AspectRatio asymptotically asymptotically stable behavior Bessel's equation Boyce & DiPrima built-in functions button calculate Chapter Consider constant coefficients corresponding critical points defined direction field disk Double-clicking eigenvalues eigenvectors equilibrium error evaluate exact solution example expression facsimile solution Figure File menu FindRoot fundamental set graph Graphics icon increases initial conditions initial data initial value problem Input cells integral interval Laplace Transform linear equation linear system Macintosh Mathematica commands mathematical mouse NDSolve Notebook numerical methods numerical solution option output parameter phase portrait Plot command plot the direction plot the solution PlotRange PlotVectorField population Prob Problem Set qualitative regular singular point saddle point ScaleFunction second order equations separatrix series solution singularity solution curves solution of Airy's solve Specifies stable symbolic Taylor polynomial Theorem trajectories unstable variable vector field warning messages window Windows 95 X Window System zero