## Differential equations with MapleThis is an easy-to-use text that uses Maple (a mathematical software system) to introduce symbolic, numerical, graphical, and qualitative techniques to differential equations. There is special emphasis on the specific features of Maple that are useful for analyzing differential equations and introduces mathematical issues pertinent to the use of numerical methods and computers such as stability, numerical error, and reliability. |

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### Contents

Introduction | 1 |

Getting Started with Maple | 11 |

Doing Mathematics with Maple | 21 |

Copyright | |

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### Common terms and phrases

Airy's equation approximate solution asymptotically behavior Bessel's equation Boyce & DiPrima button Chapter command key constant coefficient contourplot corresponding critical points defined DEplot diff(y(t differential equation digits direction field diskette Double-clicking dsolve eigenvalues eigenvectors equilibrium error Euler evaluate exact solution example expression facsimile solution Figure fundamental set graph graphics window icon increases initial conditions initial data initial value problem insertion point interval Laplace Transform linear equation linear system Macintosh Maple command Maple's mathematical maxfun menu numerical method numerical solution option output parameter phase portrait plot command plot the direction plot the solution plots package polynomial population power series Prob Problem Set qualitative regular singular points saddle point separatrix series solution solution curves solution of Airy's solve specify stable step stepsize symbolic syntax Taylor polynomial Theorem trajectories unstable variable vector field Window System with(plots X Window System zero