Page 10 - Schaum's Outline of Differential Equations
P. 10
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CONTENTS
Chapter 1 Basic Concepts 1
Differential Equations 1
Notation 2
Solutions 2
Initial-Value and Boundary-Value Problems 2
Chapter 2 An Introduction to Modeling and
Qualitative Methods 9
Mathematical Models 9
The "Modeling Cycle" 9
Qualitative Methods 10
Chapter 3 Classifications of First-Order
Differential Equations 14
Standard Form and Differential Form 14
Linear Equations 14
Bernoulli Equations 14
Homogeneous Equations 15
Separable Equations 15
Exact Equations 15
Chapter 4 Separable First-Order Differential Equations 21
General Solution 21
Solutions to the Initial-Value Problem 21
Reduction of Homogeneous Equations 22
Chapter 5 Exact First-Order Differential Equations 31
Defining Properties 31
Method of Solution 31
Integrating Factors 32
Chapter 6 Linear First-Order Differential Equations 42
Method of Solution 42
Reduction of Bernoulli Equations 42
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