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Differential Equations

Differential Equations - (2nd edition

ISBN13: 978-0471076483

Cover of Differential Equations (2ND)99 (ISBN 978-0471076483)
ISBN13: 978-0471076483
ISBN10: 0471076481
Cover type: Print On Demand
Edition/Copyright: (2ND)99
Publisher: John Wiley & Sons, Inc.
Published: 1999
International: No

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Differential Equations - (2ND)99 edition

ISBN13: 978-0471076483

David Lomen and David Lovelock

ISBN13: 978-0471076483
ISBN10: 0471076481
Cover type: Print On Demand
Edition/Copyright: (2ND)99
Publisher: John Wiley & Sons, Inc.

Published: 1999
International: No
Summary

This text provides lively reading, with compelling applications, projects, and experiments that supply readers with opportunities to explore the relationship between the parameters in a differential equation and the process it models. Its goal is to teach readers to use differential equation as an investigative tool, not just to verify results. Visual exploration of solutions via slope fields, direction fields, phase plane solutions, and other graphical interpretations are emphasized. Also, graphical and numerical techniques are covered early on.

Table of Contents

Basic Concepts.

Autonomous Differential Equations.

First Order Differential Equations - Qualitative and Quantitative Aspects.

Models and Applications Leading to New Techniques.

First Order Linear Differential Equations and Models.

Interplay Between First Order Systems and Second Order Equations.

Second Order Linear Differential Equations with Forcing Functions.

Second Order Linear Differential Equations - Qualitative and Quantitative

Aspects.

Linear Autonomous Systems.

Nonlinear Autonomous Systems.

Using Laplace Transforms.

Using Power Series.

Using Matrices.

Appendices