1. 6-3 More Difficult Separation of Variables Rizzi – Calc BC

2. Return of Separation of Variables

3. Practice with Separable Diff Eq

4. Particular Solutions

5. One More…

6. Application – Populations

7. Answer  When t = 3, you can approximate the population to be N = 650 – 350e –0.4236(3) ≈ 552 coyotes.

8. Logistic Differential Equations – BC Topic Rizzi – Calc BC

9. Recap  Yesterday, we looked at the coyote problem and came up with the following equations to describe the coyote population: Differential EquationSolution to Diff Eq

10. The Logistic Equation  Exponential growth is unlimited, but when describing a population, there often exists some upper limit L past which growth cannot occur. This upper limit L is called the carrying capacity, which is the maximum population y(t) that can be sustained or supported as time t increases.

11. What do you see in this slope field?

12. General Solution  Given the logistic differential equation  The general solution is

13. Nuances  Population __________

14. Practice

15. AP Style Question