The Maple® O.D.E. Lab Book

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The Maple ODE Lab Book is intended to provide a thorough introduc­ tion to using symbolic computation software to model, solve, explore, and visualize ordinary differential equations. It is best used as a supplement to existing texts (see the bibliography for some of our recommended texts). Maple was chosen as our software package because of its ease-of-use, affordability, and popularity at many universities and colleges around the world. The version being used is Maple V Release 4. If you have a previous release of Maple, some of the commands shown in this lab book will work differently (or not at all), but the basic groundwork for solving ODEs hasn't changed. Speak to your system administrator about upgrading to Release 4, or contact: Waterloo Maple Inc. 450 Phillip Street Waterloo, Ontario CANADA N2L 5J2 Phone: (519) 747-2373 FAX: (519) 747-5284 E-mail: [email protected] WWW: http://www.maplesoft.com 1 2 • Chapter 1. Introduction How This Lab Book Is Organized Each subsequent chapter of this lab book contains information and ex­ amples of how to apply Maple to various elements of ordinary differential equations. It is suggested that you read the chapters with your computer on and Maple V Release 4 running. You can then execute many of the com­ mands yourself and experiment by changing various parameters and/or initial conditions, observing the corresponding changes in the results.

Author(s): Darren Redfern, Edgar Chandler (auth.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 1996

Language: English
Pages: 160
Tags: Topological Groups, Lie Groups

Front Matter....Pages i-ix
Introduction....Pages 1-3
Getting Started with Maple....Pages 4-24
First-Order ODEs....Pages 25-32
Applications of First-Order ODEs....Pages 33-44
Graphical Methods....Pages 45-55
Homogeneous Linear Differential Equations....Pages 56-64
Non-homogeneous Linear Differential Equations....Pages 65-70
Applications of Linear Differential Equations....Pages 71-82
More Applications and Systems of Differential Equations....Pages 83-90
Phase Planes....Pages 91-99
Matrix Operations....Pages 100-110
Matrix Methods of Solution....Pages 111-116
Isoclines....Pages 117-120
Series Solutions....Pages 121-130
Numerical Methods....Pages 131-139
The Laplace Transform....Pages 140-153
Back Matter....Pages 155-160