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9780023978609

Elementary Differential Equations

by ;
  • ISBN13:

    9780023978609

  • ISBN10:

    0023978600

  • Format: Hardcover
  • Copyright: 1989-01-01
  • Publisher: Macmillan Coll Div
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List Price: $69.33

Summary

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. 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.

Table of Contents

Definitions; Families of Curves
Equations of Order One
Numerical Methods
Elementary Applications
Additional Topics on Equations of Order One
Linear Differential Equations
Linear Equations with Constant Coefficients
Nonhomogeneous Equations: Undetermined Coefficients
Variation of Parameters
Applications
Linear Systems of Equations
Nonhomogeneous Systems of Equations
The Existence and Uniqueness of Solutions
The Laplace Transform
Inverse Transforms
Nonlinear Equations
Power Series Solutions
Solutions Near Regular Singular Points
Equations of Hypergeometric Type
Partial Differential Equations
Orthogonal Sets of Functions
Fourier Series
Boundary Value Problems
Additional Properties of the Laplace Transform
Partial Differential Equations Transform Methods
Answers to Odd-numbered Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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