文档介绍：Undergraduate Texts in Mathematics
Editorial Board
S. Axler
. Ribet
For other titles published in this series, go to
ies/666
J. David Logan
A First Course
in Differential Equations
Second Edition
J. David Logan
Department of Mathematics
University of Nebraska—Lincoln
Lincoln, NE 68588-0130
USA
******@
Editorial Board
S. Axler . Ribet
Mathematics Department Mathematics Department
San Francisco State University University of California at
Berkeley Berkeley, CA 94720-3840
San Francisco, CA 94132 USA
USA ******@
******@
ISSN 0172-6056
ISBN 978-1-4419-7591-1 e-ISBN 978-1-4419-7592-8
DOI -1-4419-7592-8
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2010938913
Mathematics Subject Classification (2010): 34-01
© Springer Science+Business Media, LLC 2011
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media LLC, 233 Spring Street, New York, NY
10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection
with any form of information storage and retrieval, electronic adaptation, computer software, or by similar
or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
Printed on acid-free paper.
Springer is part of Springer Science+Business Media ()
To my son David
Contents
Preface to the Second Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
To the Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xv
1. Differential E