1. Chapter 7 Section 7.5 Logistic Growth
Differential Equations and Mathematical Modeling
Section 7.5
Logistic Growth

2. What you’ll learn about
Logistic growth as a reasonable model for population growth
The technique of partial fractions
Solving a logistic differential equation by partial fractions
Real-world applications of logistic growth
The general logistic formula
… and why
Populations in the real world tend to grow
logistically over extended periods of time.

3. Partial Fraction Decomposition with Distinct Linear Denominators

4. Example Finding a Partial Fraction Decomposition

5. Example Antidifferentiating with Partial Fractions

6. Example 2

7. Logistic Differential Equation

8. Example Logistic Differential Equation

9. The General Logistic Formula