Differential Equations_ An Introduction with Mathematica (2nd ed.) [Ross 2010-11-25].pdf

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Undergraduate Texts in Mathematics
Editors
S. Axler
F.W. Gehring
K.A. Ribet
Undergraduate Texts in Mathematics
Abbott:
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Mathematics: A Concise History
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Armstrong:
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Limits: A New Approach to
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A First Course in Real
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Bix:
Conics and Cubics: A
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Bremaud:
An Introduction to
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Bressoud:
Factorization and Primality
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Bressoud:
Second Year Calculus.
Readings in Mathematics.
Brickman:
Mathematical Introduction
to Linear Programming and Game
Theory.
Browder:
Mathematical Analysis:
An Introduction.
Buchmann:
Introduction to
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Buskes/van Rooij:
Topological Spaces:
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Callahan:
The Geometry of Spacetime:
An Introduction to Special and General
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Carter/van Brunt:
The Lebesgue-
Stieltjes Integral: A Practical
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Cederberg:
A Course in Modern
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Childs:
A Concrete Introduction to
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Chung/AitSahlia:
Elementary Probability
Theory: With Stochastic Processes and
an Introduction to Mathematical
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Cox/Little/O'Shea:
Ideals, Varieties,
and Algorithms. Second edition.
Croom:
Basic Concepts of Algebraic
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Curtis:
Linear Algebra: An Introductory
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Daepp/Gorkin:
Reading, Writing, and
Proving: A Closer Look at
Mathematics.
Devlin:
The Joy of Sets: Fundamentals
of Contemporary Set Theory.
Second edition.
Dixmier:
General Topology.
Driver:
Why Math?
Ebbinghaus/Fium/Thomas:
Mathematical Logic. Second edition.
Edgar:
Measure, Topology, and Fractal
Geometry.
Elaydi:
An Introduction to Difference
Equations. Second edition.
Erdi:ls/Suninyi:
Topics in the Theory of
Numbers.
Estep:
Practical Analysis in One Variable.
Exner:
An Accompaniment to Higher
Mathematics.
Exner:
Inside Calculus.
Fine/Rosenberger:
The Fundamental
Theory of Algebra.
Fischer:
Intermediate Real Analysis.
Flanigan/Kazdan:
Calculus Two: Linear
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Fleming:
Functions of Several Variables.
Second edition.
Foulds:
Combinatorial Optimization for
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Foulds:
Optimization Techniques: An
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(continued after index)
Clay C. Ross
Differential Equations
An Introduction with Mathematica®
Second Edition
With 88 Figures
~Springer
Clay C. Ross
Department of Mathematics
The University of the South
735 University Avenue
Sewanee, TN 37383
USA
cross@Jsewanee.edu
Editorial Board
S. Axler
Mathematics Department
San Francisco State
University
San Francisco, CA 94132
USA
F.W. Gehring
Mathematics Department
East Hali
University of Michigan
Ann Arbor, MI 48109
USA
K.A. Ribet
Mathematics Department
University of California,
Berkeley
Berkeley, CA 947.20-3840
USA
Mathematics Subject Classification (2000): 34-01, 65Lxx
Library of Congress Cataloging-in-Publication Data
Ross, Clay C.
Differential equations : an introduction with Mathematica / Clay C. Ross. - 2nd ed.
p. cm. - (Undergraduate texts in mathematics)
Includes bibliographical references and index.
ISBN 978-1-4419-1941-0
ISBN 978-1-4757-3949-7 (eBook)
DOI 10.1007/978-1-4757-3949-7
1. Differential equations.
QA371.R595 2004
515'.35-dc22
ISBN 978-1-4419-1941-0
2. Mathematica (Computer file)
1.
Title.
TI.
Series.
2004048203
Printed on acid-free paper.
© 2004, 1995 Spinger Science+Business Media New York
Originally published by Springer Science+ Business Media , loc. in
2004
Softcover reprint of the hardcover lod edition
2004
AII rights reserved. This work may not be translated or copied in whole or in part with-
out the written permission of the publisher Springer Science+Business Media,
u.e ,
except for brief excerpts in connection with
reviews or scholarly analysis. Use in connection with any farm of information storage
and retrieval, electronic adaptation, computer software, or by similar or dissimilar meth-
odology now known or hereafter developed is farbidden.
The use in this publication oftrade names, trademarks, service marks, and similar terms,
even if they are not identified as such, is not to be taken as an expressio n of opinion as
to whether or not they are subject to proprietary rights.
(MVY)
9 8 7 6 543 2 1
springeronline.com
SPIN 10963685
This book is dedicated to my parents,
Vera K. and Clay
C.
Ross,
and to my wife,
Andrea,
with special gratitude to each.

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