27069_end01-03_ptg01_hires.qxd 1/30/12 5:20 PM Page 4 27069_end01-03_ptg01_hires.qxd 1/30/12 5:20 PM Page 2 REVIEW OF DIFFERENTIATION a a a a a Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_end01-03_ptg01_hires.qxd 1/30/12 5:20 PM Page 3 BRIEF TABLE OF INTEGRALS Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_end01-03_ptg01_hires.qxd 1/30/12 5:20 PM Page 4 Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_fm.qxd 2/2/12 3:37 PM Page i Eighth Edition DIFFERENTIAL EQUATIONS with Boundary-Value Problems Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_fm.qxd 2/2/12 3:37 PM Page ii Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_fm.qxd 2/2/12 3:37 PM Page iii Eighth Edition DIFFERENTIAL EQUATIONS with Boundary-Value Problems DENNIS G. ZILL Loyola Marymount University WARREN S. WRIGHT Loyola Marymount University MICHAEL R. CULLEN Late of Loyola Marymount University Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_end01-03_ptg01_hires.qxd 1/30/12 5:20 PM Page 4 This is an electronic version of the print textbook. Due to electronic rights restrictions, some third party content may be suppressed. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. 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Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 27069_fm.qxd 2/2/12 5:20 PM Page iv Differential Equations with © 2013,2009,2005 Brooks/Cole,Cengage Learning Boundary-Value Problems, ALL RIGHTS RESERVED.No part of this work covered by the Eighth Edition copyright herein may be reproduced,transmitted,stored,or used in Dennis G.Zill,Warren S.Wright, any form or by any means graphic,electronic,or mechanical, and Michael R.Cullen including but not limited to photocopying,recording,scanning, digitizing,taping,Web distribution,information networks,or Publisher:Richard Stratton information storage and retrieval systems,except as permitted under Senior Sponsoring Editor: Section 107 or 108 of the 1976 United States Copyright Act,without Molly Taylor the prior written permission of the publisher. 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