Amazon no longer offers textbook rentals. We do!

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial)

by: Zill, Dennis G.

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial)

by: Zill, Dennis G.

ISBN 13:
9780534418786
ISBN 10:
0534418783
Edition: 8th
Format: Hardcover w/CD
Copyright: 10/20/2004
Publisher: Brooks Cole
Newer Edition

Rent From $317.56

New From $371.43

List Price $394.92 Save

Rent $317.56

TERM	PRICE	DUE
SHORT TERM	$317.56	Jun 07

Added Benefits of Renting

Free Shipping Both Ways
Highlight/Take Notes Like You Own It
Purchase/Extend Before Due Date

Add to Cart

List Price $394.92 Save $23.49

New $371.43

In Stock Usually Ships in 24 Hours.

We Buy This Book Back!

Included with your book

Free Shipping On Every Order

Add to Cart

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Extend or Purchase Your Rental at Any Time

Need to keep your rental past your due date? At any time before your due date you can extend or purchase your rental through your account.

Summary

Master differential equations and succeed in your course with A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS with accompanying CD-ROM and technology! Straightfoward and readable, this mathematics text provides you with tools such as examples, explanations, definitions, and applications designed to help you succeed. The accompanying DE Tools CD-ROM makes helps you master difficult concepts through twenty-one demonstration tools such as Project Tools and Text Tools. Studying is made easy with iLrn? Tutorial, a text-specific, interactive tutorial software program that gives the practice you need to succeed.

Preface	p. ix
Acknowledgments	p. xv
Introduction to Differential Equations	p. 1
Definitions and Terminology	p. 2
Initial-Value Problems	p. 15
Differential Equations as Mathematical Models	p. 22
Chapter 1 in Review	p. 37
First-Order Differential Equations	p. 39
Solution Curves Without the Solution	p. 40
Separable Variables	p. 51
Linear Equations	p. 60
Exact Equations	p. 72
Solutions by Substitutions	p. 80
A Numerical Solution	p. 86
Chapter 2 in Review	p. 92
Modeling with First-Order Differential Equations	p. 95
Linear Equations	p. 96
Nonlinear Equations	p. 109
Systems of Linear and Nonlinear Differential Equations	p. 121
Chapter 3 in Review	p. 130
Project Module: Harvesting of Renewable Natural Resources	p. 133
Higher-Order Differential Equations	p. 138
Preliminary Theory: Linear Equations	p. 139
Initial-Value and Boundary-Value Problems	p. 139
Homogeneous Equations	p. 142
Nonhomogeneous Equations	p. 148
Reduction of Order	p. 154
Homogeneous Linear Equations with Constant Coefficients	p. 158
Undetermined Coefficients--Superposition Approach	p. 167
Undetermined Coefficients--Annihilator Approach	p. 178
Variation of Parameters	p. 188
Cauchy-Euler Equation	p. 193
Solving Systems of Linear Equations by Elimination	p. 201
Nonlinear Equations	p. 207
Chapter 4 in Review	p. 212
Modeling with Higher-Order Differential Equations	p. 215
Linear Equations: Initial-Value Problems	p. 216
Spring/Mass Systems: Free Undamped Motion	p. 216
Spring/Mass Systems: Free Damped Motion	p. 220
Spring/Mass Systems: Driven Motion	p. 224
Series Circuit Analogue	p. 227
Linear Equations: Boundary-Value Problems	p. 237
Nonlinear Equations	p. 247
Chapter 5 in Review	p. 259
Project Module: The Collapse of the Tacoma Narrows Suspension Bridge	p. 263
Series Solutions of Linear Equations	p. 267
Solutions About Ordinary Points	p. 268
Review of Power Series	p. 268
Power Series Solutions	p. 271
Solutions About Singular Points	p. 280
Two Special Equations	p. 292
Chapter 6 in Review	p. 304
The Laplace Transform	p. 306
Definition of the Laplace Transform	p. 307
Inverse Transform and Transforms of Derivatives	p. 314
Translation Theorems	p. 324
Translation on the s-Axis	p. 324
Translation on the t-Axis	p. 328
Additional Operational Properties	p. 338
Dirac Delta Function	p. 351
Systems of Linear Equations	p. 354
Chapter 7 in Review	p. 361
Systems of Linear First-Order Differential Equations	p. 364
Preliminary Theory	p. 365
Homogeneous Linear Systems with Constant Coefficients	p. 375
Distinct Real Eigenvalues	p. 376
Repeated Eigenvalues	p. 380
Complex Eigenvalues	p. 384
Variation of Parameters	p. 393
Matrix Exponential	p. 399
Chapter 8 in Review	p. 404
Project Module: Earthquake Shaking of Multistory Buildings	p. 406
Numerical Solutions of Ordinary Differential Equations	p. 410
Euler Methods and Error Analysis	p. 411
Runge-Kutta Methods	p. 417
Multistep Methods	p. 424
Higher-Order Equations and Systems	p. 427
Second-Order Boundary-Value Problems	p. 433
Chapter 9 in Review	p. 438
Appendixes	p. 1
Gamma Functions	p. 1
Introduction to Matrices	p. 3
Laplace Transforms	p. 25
Selected Answers for Odd-Numbered Problems	p. 1
Index	p. 1
Table of Contents provided by Syndetics. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial)

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial)

9780534418786

0534418783

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial)

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial)

9780534418786

0534418783

Summary

Table of Contents

Supplemental Materials

Write a Review

Related Products