9780495108368

Differential Equations with Boundary-Value Problems

by ;
  • ISBN13:

    9780495108368

  • ISBN10:

    0495108367

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 5/13/2008
  • Publisher: Brooks Cole
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Summary

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 7th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

Table of Contents

Introduction to Differential Equationsp. 1
First-Order Differential Equationsp. 34
Modeling with First-Order Differential Equationsp. 82
Higher-Order Differential Equationsp. 117
Modeling with Higher-Order Differential Equationsp. 181
Series Solutions of Linear Equationsp. 219
The Laplace Transformp. 255
Systems of Linear First-Order Differential Equationsp. 303
Numerical Solutions of Ordinary Differential Equationsp. 339
Plane Autonomous Systemsp. 363
Orthogonal Functions and Fourier Seriesp. 397
Boundary-Value Problems in Rectangular Coordinatesp. 432
Boundary-Value Problems in Other Coordinate Systemsp. 471
Integral Transformsp. 488
Numerical Solutions of Partial Differential Equationsp. 511
Gamma Function
Matrices
Laplace Transforms
Answers for Selected Odd-Numbered Problems
Index
Table of Contents provided by Blackwell. All Rights Reserved.

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