Advanced Engineering Mathematics, 6th Edition

CHAPTER 2: First-Order Differential Equations

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CHAPTER CONTENTS

1. 2.1 Solution Curves Without a Solution

   1. 2.1.1 Direction Fields

   2. 2.1.2 Autonomous First-Order DEs

2. 2.2 Separable Equations

3. 2.3 Linear Equations

4. 2.4 Exact Equations

5. 2.5 Solutions by Substitutions

6. 2.6 A Numerical Method

7. 2.7 Linear Models

8. 2.8 Nonlinear Models

9. 2.9 Modeling with Systems of First-Order DEs

   1. Chapter 2 in Review

We begin our study of differential equations with first-order equations. In this chapter we illustrate the three different ways differential equations can be studied: qualitatively, analytically, and numerically.

In Section ...