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Unit 7: Differential Equations

Logistic Models with Differential Equations

Read a logistic differential equation to find its carrying capacity, its long-run limit, and the value where the quantity changes fastest, all without solving it.

Topic 7.9 · 7 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01Where the model comes from
  2. 02Reading the long-run behavior
  3. 03Fastest growth at half the carrying capacity
  4. 04The solution formula
  5. 05Worked examples
  6. 06Where students lose points
  7. 07On the exam

The first units’ lessons are free. The plan opens every lesson, every practice question with worked solutions, your study plan and calendar, for $14.49 a month. Cancel any time.

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