AP Exam Weight: 15-25% | Multiple Choice: 6-10 questions | Free Response: Usually 1 full question

📚 Table of Contents

1. [Slope Fields]
2. [Separable Equations]
3. Logistic Growth
4. Euler’s Method
5. [Applications]

Basic Concepts 📈

Key Terms

• Order: Highest derivative
• Linear vs. Nonlinear
• Initial value problem (IVP)
• General solution

Common Forms

1. Separable: $\frac{dy}{dx} = f(x)g(y)$
2. Linear: $\frac{dy}{dx} + P(x)y = Q(x)$
3. Logistic: $\frac{dy}{dt} = ky(1-\frac{y}{M})$

Solution Methods 🔧

Separation of Variables

1. Separate y and x terms