Chapter 9: Differential Equations

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Course

MATH347 (Differential Equations)

Note: Chapter 9 (Differential Equations) is typically covered in MATH347, which often uses a dedicated ODE textbook (e.g., Boyce & DiPrima). This chapter from Stewart provides supplementary coverage.

Overview

This chapter covers Differential Equations from Stewart Calculus 9th Edition.

Each section contains:

Skill breakdowns with learning objectives
Practice problems at multiple difficulty levels
Links to related skills and prerequisites

Sections

Section 9.1: Modeling with Differential Equations

Skill	Description	Difficulty
Introduction to Differential Equations	Differential Equations	Intermediate
Modeling with DEs	Differential Equations	Intermediate

Section 9.2: Direction Fields and Euler’s Method

Skill	Description	Difficulty
Direction Fields	Differential Equations	Intermediate
Euler’s Method	Differential Equations	Intermediate

Section 9.3: Separable Equations

Skill	Description	Difficulty
Applications of Separable DEs	Differential Equations	Intermediate
Separable Differential Equations	Differential Equations	Intermediate

Section 9.4: Models for Population Growth

Skill	Description	Difficulty
Comparing Population Models	Differential Equations	Intermediate
The Logistic Equation	Differential Equations	Intermediate

Section 9.5: Linear Equations

Skill	Description	Difficulty
First-Order Linear DEs	Differential Equations	Intermediate
Integrating Factor Method	Differential Equations	Intermediate

Section 9.6: Predator-Prey Systems

Skill	Description	Difficulty
Lotka-Volterra Equations	Differential Equations	Advanced
Qualitative Analysis of Systems	Differential Equations	Advanced

Prerequisites

Before starting Chapter 9, review relevant prerequisite skills from earlier chapters.

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