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Advanced Numerical Differential Equations Olving ...

Wolfram Mathematica Tutorial CollectionADVANCED Numerical Differential EQUATION SOLVING IN MATHEMATICAFor use with Wolfram Mathematica and later. For the latest updates and corrections to this manual: visit For information on additional copies of this documentation: visit the Customer Service website at or email Customer Service at Comments on this manual are welcomed at: Content authored by: Mark Sofroniou and Rob Knapp 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.

tions and initial conditions are collectively referred to as an initial value problem. A boundary value occurs when there are multiple points t. NDSolve can solve nearly all initial value prob-lems that can symbolically be put in normal form (i.e. are solvable for the highest derivative order), but only linear boundary value problems.

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Mathematica Tutorial: Differential Equation Solving With ...

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Introduction to Differential Equation Solving with DSolve The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathe- matica function NDSolve, on the other hand, is a general numerical differential equation solver.) DSolve can handle the following types of equations: † Ordinary Differential Equations (ODEs), in which there is a single independent …

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