Elementary Differential Equations / Edition 7

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Overview

A clear, concise book that emphasizes finding solutions to differential equations where applications play an important role. Each chapter includes many illustrative examples to assist the reader. KEY TOPICS: The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.
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Product Details

  • ISBN-13: 9780023978609
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 12/28/1988
  • Edition description: 7th ed
  • Edition number: 7
  • Pages: 548

Table of Contents

Preface
1 Definitions; Families of Curves 1
2 Equations of Order One 18
3 Numerical Methods 45
4 Elementary Applications 62
5 Additional Topics on Equations of Order One 75
6 Linear Differential Equations 99
7 Linear Equations with Constant Coefficients 117
8 Nonhomogeneous Equations: Undetermined Coefficients 134
9 Variation of Parameters 152
10 Applications 165
11 Linear Systems of Equations 186
12 Nonhomogeneous Systems of Equations 224
13 The Existence and Uniqueness of Solutions 243
14 The Laplace Transform 252
15 Inverse Transforms 274
16 Nonlinear Equations 320
17 Power Series Solutions 342
18 Solutions Near Regular Singular Points 358
19 Equations of Hypergeometric Type 396
20 Partial Differential Equations 404
21 Orthogonal Sets of Functions 418
22 Fourier Series 425
23 Boundary Value Problems 447
24 Additional Properties of the Laplace Transform 467
25 Partial Differential Equations Transform Methods 481
Answers to Odd-numbered Exercises 500
Index 527
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