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Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Fundamentals of Differential Equations, Global Edition

• Title Page


• Copyright Page


• Dedicated to R. Kent Nagle


• Contents


• Preface


• Our Goal


• New to This Edition


• Prerequisites


• Sample Syllabi


• Retained Features


• Technology and Supplements


• Acknowledgments


• Acknowledgments for the Global Edition


• Chapter 1: Introduction


• 1.1. Background


• 1.2. Solutions and Initial Value Problems


• 1.3. Direction Fields


• 1.4. The Approximation Method of Euler


• Chapter 1: Summary


• Review Problems for Chapter 1


• Technical Writing Exercises for Chapter 1


• Projects for Chapter 1


• A. Picard?s Method


• B. The Phase Line


• C. Applications to Economics


• D. Taylor Series Method


• Chapter 2: First-Order Differential Equations


• 2.1. Introduction: Motion of a Falling Body


• 2.2. Separable Equations


• 2.3. Linear Equations


• 2.4. Exact Equations


• 2.5. Special Integrating Factors


• 2.6. Substitutions and Transformations


• Chapter 2: Summary


• Review Problems for Chapter 2


• Technical Writing Exercises for Chapter 2


• Projects for Chapter 2


• A. Oil Spill in a Canal


• B. Differential Equations in Clinical Medicine


• C. Torricelli?s Law of Fluid Flow


• D. The Snowplow Problem


• E. Two Snowplows


• F. Clairaut Equations and Singular Solutions


• G. Multiple Solutions of a First-Order Initial Value Problem


• H. Utility Functions and Risk Aversion


• I. Designing a Solar Collector


• J. Asymptotic Behavior of Solutions to Linear Equations


• Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations


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