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Front Cover Copyright Page CONTENTS Preface PART 1 - Ordinary Differential Equations CHAPTER 1 Introduction to Differential Equations Outline & Intro 1.1 Definitions and Terminology 1.2 Initial-Value Problems 1.3 Differential Equations as Mathematical Models Review CHAPTER 2 First-Order Differential Equations Outline & Intro 2.1 Solution Curves Without a Solution 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations 2.5 Solutions by Substitutions 2.6 A Numerical Method 2.7 Linear Models 2.8 Nonlinear Models 2.9 Modeling with Systems of First-Order DEs Review Contributed Problems CHAPTER 3 Higher-Order Differential Equations Outline & Intro 3.1 Theory of Linear Equations 3.2 Reduction of Order 3.3 Homogeneous Linear Equations with Constant Coefficients 3.4 Undetermined Coefficients 3.5 Variation of Parameters 3.6 Cauchy-Euler Equations 3.7 Nonlinear Equations 3.8 Linear Models: Initial-Value Problems 3.9 Linear Models: Boundary-Value Problems 3.10 Green's Functions 3.11 Nonlinear Models 3.12 Solving Systems of Linear Equations Review Contributed Problems CHAPTER 4 The Laplace Transform Outline & Intro 4.1 Definition of the Laplace Transform 4.2 The Inverse Transform a
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It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Dennis Zill & Warren Wright
- Published
- 2014
- Language
- EN
- Category
- mathematics
- Subjects
- Mathematics, Stem
- Rating
- 4.4 / 5 (47 ratings)
- Updated
- 2026-03-14
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