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Introduction to Differential Equations
1 Preface
2 Why Differential Equations?
- 2.1 Rates of Change
- 2.2 SIR Model
3 Introduction to Ordinary Differential Equations
- 3.1 Introduction
  - 3.1.1 Order of Ordinary Differential Equations
- 3.2 Exercises
4 Analytical Solutions for $y^{'} = f(t)$
5 Graphical Solutions
6 Numerical Solutions: Euler’s Method for Approximating Solutions of ODEs
7 Analytical Solutions: Solving ODEs Using Separation of Variables
8 Modeling with ODEs
9 Modeling: Equilibrium Solutions and Stability
10 Systems of 1st Order ODEs
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Dynamical Systems

Dynamical Systems

Robert Wolverton, updated by Joseph Eichholz

2025

Chapter 1 Preface

This book section is the supplemental reading material for Math 142 offered at USAFA, Spring 2025.