DifferentialEquationSolvingWithDSolve

DifferentialEquationSolvingWithDSolve - Wolfram Mathematica...

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Unformatted text preview: Wolfram Mathematica ® Tutorial Collection DIFFERENTIAL EQUATION SOLVING WITH DSOLVE For use with Wolfram Mathematica ® 7.0 and later. For the latest updates and corrections to this manual: visit reference.wolfram.com For information on additional copies of this documentation: visit the Customer Service website at www.wolfram.com/services/customerservice or email Customer Service at info@wolfram.com Comments on this manual are welcomed at: comments@wolfram.com Content authored by: Devendra Kapadia Printed in the United States of America. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 ©2008 Wolfram Research, Inc. All rights reserved. No part of this document may be reproduced or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of the copyright holder. Wolfram Research is the holder of the copyright to the Wolfram Mathematic a software system ("Software") described in this document, including without limitation such aspects of the system as its code, structure, sequence, organization, “look and feel,” programming language, and compilation of command names. Use of the Software unless pursuant to the terms of a license granted by Wolfram Research or as otherwise authorized by law is an infringement of the copyright. Wolfram Research, Inc. and Wolfram Media, Inc. ("Wolfram") make no representations, express, statutory, or implied, with respect to the Software (or any aspect thereof), including, without limitation, any implied warranties of merchantability, interoperability, or fitness for a particular purpose, all of which are expressly disclaimed. Wolfram does not warrant that the functions of the Software will meet your requirements or that the operation of the Software will be uninterrupted or error free. As such, Wolfram does not recommend the use of the software described in this document for applications in which errors or omissions could threaten life, injury or significant loss. Mathematica , MathLink , and MathSource are registered trademarks of Wolfram Research, Inc. J/Link , MathLM , .NET/Link , and web Mathematica are trademarks of Wolfram Research, Inc. Windows is a registered trademark of Microsoft Corporation in the United States and other countries. Macintosh is a registered trademark of Apple Computer, Inc. All other trademarks used herein are the property of their respective owners. Mathematica is not associated with Mathematica Policy Research, Inc. Contents Introduction to Differential Equation Solving with DSolve . . . . . . . . . . . . . . . . . . . . . . 1 Classification of Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Ordinary Differential Equations (ODEs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Overview of ODEs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11...
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DifferentialEquationSolvingWithDSolve - Wolfram Mathematica...

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