Ingeniero

INSTRUCTOR’S RESOURCE GUIDE
EDWARD B. SAFF
Vanderbilt University

A. DAVID SNIDER
University of South Florida

FUNDAMENTALS OF DIFFERENTIAL EQUATIONS
SIXTH EDITION

FUNDAMENTALS OF DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS
FOURTH EDITION R. Kent Nagle Edward B. Saff A. David Snider

Reproduced by Pearson Addison-Wesley from electronic files supplied by the authors.Copyright © 2004 Pearson Education, Inc. Publishing as Pearson Addison-Wesley, 75 Arlington Street, Boston MA 02116 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Printed in the United States ofAmerica. ISBN 0-321-17318-X

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Contents
Notes to Instructor Software Supplements Instructional Utility Software Interactive Differential Equations CD-ROM Instructor’s Maple/Matlab/Mathematica Manual Computer Labs Group Projects Technical Writing Exercises Student Presentations Homework Assignments Syllabus Suggestions Numerical, Graphical, and QualitativeEngineering/Physics Applications Biology/Ecology Applications Supplemental Group Projects Answers to Even-Numbered Problems Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 1 1 1 2 2 2 2 3 3 3 3 4 5 6 8 15 15 21 25 31 43 57 61 71 81 91 97 103 117

Notes to the Instructor
One goal in our writing has been to createflexible texts that afford the instructor a variety of topics and make available to the student an abundance of practice problems and projects. We recommend that the instructor read the discussion given in the preface in order to gain an overview of the prerequisites, topics of emphasis, and general philosophy of the texts. An additional resource to accompany the texts is the on-line tool, MyMathLab.MyMathLab is ideal for lecturebased, lab-based, and on-line courses and provides students and instructors with a centralized point of access to the multimedia resources available with the texts. The pages of the actual text are loaded into MyMathLab and extensive course-management capabilities, including a host of communication tools for course participants, are provided to create a user-friendlyand interactive on-line learning environment. Instructors can also remove, hide, or annotate Addison-Wesley preloaded content, add their own course documents, or change the order in which material is presented. A link to the Instructional Utility Software package is also included. For more information visit our Web site at www.mymathlab.com or contact your Addison-Wesley sales representative for alive demonstration. INSTRUCTIONAL UTILITY SOFTWARE Written specifically for the texts and available via MyMathLab, this utility has the following items: GRAPHICAL METHODS Graph, tabulate or evaluate functions Direction field Phase plane diagram MATRIX OPERATIONS Solve a system of linear equations Determinant and inverse of a matrix Matrix multiplication Eigenvalues and eigenvectors NUMERICALSOLUTIONS OF INITIAL VALUE PROBLEMS Euler’s method subroutine Euler’s method with tolerance Improved Euler’s method subroutine Improved Euler’s method with tolerance Fourth order Runge-Kutta method subroutine Fourth order Runge-Kutta method with tolerance FOURTH ORDER RUNGE-KUTTA METHOD FOR SYSTEMS System with 2 equations System with 3 equations System with 4 equations OTHER COMPUTATIONAL METHODSRoots of a polynomial equation Newton’s method Simpson’s Rule for definite integrals Simpson’s Rule for linear differential equations

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NOTES TO THE INSTRUCTOR

INTERACTIVE DIFFERENTIAL EQUATIONS CD-ROM Written by Beverly West (Cornell University), Steven Strogatz (Cornell University), Jean Marie McDill (California Polytechnic State University—San Luis Obispo), John Cantwell (St. Louis...