## 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 | 9 |

Doing Mathematics with Maple | 19 |

Copyright | |

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Airy's equation arrows asymptotically behavior Bessel's equation Boyce & DiPrima button Chapter Consider constant coefficient contourplot corresponding critical points default defined DEplot diff(y(t digits direction field diskette Double-clicking dsolve eigenvalues eigenvectors equilibrium error Euler evaluate exact solution example Execution Group expression facsimile solution Figure graphical icon increases initial conditions initial conditions y(0 initial data point initial value problem input interval Laplace Transform linear differential equation linear equation linear system linecolor Maple command mathematical maxfun numerical method numerical solution online help option output parameter phase portrait plot command plot the direction plot the solution polynomial population power series Prob Problem Set qualitative regular singular points saddle point second order linear separatrix sequence series solution solution curves solution of Airy's solve specify stability startinit stepsize Taylor polynomial Theorem tions trajectories unstable variable vector field window Windows 95 with(DEtools with(plots X Window System ya(x zero