Elementary Differential Equations / Edition 7

Elementary Differential Equations / Edition 7

by Earl David Rainville, Phillip E. Bedient
     
 

ISBN-10: 0023978600

ISBN-13: 9780023978609

Pub. Date: 12/28/1988

Publisher: Prentice Hall Professional Technical Reference

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…  See more details below

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
Pages:
548

Table of Contents

Preface
1Definitions; Families of Curves1
2Equations of Order One18
3Numerical Methods45
4Elementary Applications62
5Additional Topics on Equations of Order One75
6Linear Differential Equations99
7Linear Equations with Constant Coefficients117
8Nonhomogeneous Equations: Undetermined Coefficients134
9Variation of Parameters152
10Applications165
11Linear Systems of Equations186
12Nonhomogeneous Systems of Equations224
13The Existence and Uniqueness of Solutions243
14The Laplace Transform252
15Inverse Transforms274
16Nonlinear Equations320
17Power Series Solutions342
18Solutions Near Regular Singular Points358
19Equations of Hypergeometric Type396
20Partial Differential Equations404
21Orthogonal Sets of Functions418
22Fourier Series425
23Boundary Value Problems447
24Additional Properties of the Laplace Transform467
25Partial Differential Equations Transform Methods481
Answers to Odd-numbered Exercises500
Index527

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