Differential Equations with Boundary-Value Problems

by Zill, Dennis G.; Cullen, Michael R.

• ISBN13: 9780495108368
• ISBN10: 0495108367
• Edition: 7th
• Format: Hardcover
• Copyright: 2008-05-13
• Publisher: Brooks Cole

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