Solutions Manual to Accompany Ordinary Differential Equations

by Greenberg, Michael D.

• ISBN13: 9781118398999
• ISBN10: 1118398998
• Edition: 1st
• Format: Paperback
• Copyright: 2012-10-09
• Publisher: Wiley

Summary

Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory. Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes: First-Order Differential Equations Higher-Order Linear Equations Applications of Higher-Order Linear Equations Systems of Linear Differential Equations Laplace Transform Series Solutions Systems of Nonlinear Differential Equations In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers. Written in an accessible style that includes all needed details and steps, Ordinary Differential Equations is an excellent book for courses on the topic at the upper-undergraduate level. The book also serves as a valuable resource for professionals in the fields of engineering, physics, and mathematics who utilize differential equations in their everyday work.

Author Biography

MICHAEL D. GREENBERG, PhD, is Professor Emeritus of Mechanical Engineering at the University of Delaware where he teaches courses on engineering mathematics and is a three-time recipient of the University of Delaware Excellence in Teaching Award. Greenberg's research has emphasized vortex methods in aerodynamics and hydrodynamics.

Table of Contents

Chapter 1 First-Order Differential Equations 1

Chapter 2 Higher-Order Linear Equations 34

Chapter 3 Applications of Higher-Order Equations 56

Chapter 4 Systems of Linear Differential Equations 70

Chapter 5 Laplace Transform 107

Chapter 6 Series Solutions 127

Chapter 7 Systems of Nonlinear Differential Equations 148

CAS Tutorial 167

Chapter 1. Maple 167

Chapter 2. MATLAB 172

Chapter 3. Mathematica 176

Chapter 4. Maple for this Text, by Chapter 180