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Exponential and logistic models · AP Calculus AB · Courselo

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Calc AB
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Unit 7: Differential equations

Exponential and logistic models

Unit 7: Differential equations · Lesson 4 of 5

Lesson 4 of 5

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Unit 7

Unit 7: Differential equations

5 lessons · 6 h 15 min of study

Slope fields and solution curves1 h 15 min of study
Modeling and verifying differential equations1 h 15 min of study
Solving separable differential equations1 h 45 min of study
Exponential and logistic modelsReading · 0%
Euler’s method approximations45 min of study

This unit is ≈10% of the Calc AB, across 5 lessons. Full syllabus

Lesson 4 of 5 · Unit 7: Differential equations

Exponential and logistic models

3 quick checks≈2% of the testCore: Core: tested on most papers

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By the end you’ll be able to

Model exponential growth or decay with a differential equation or solution form.
Use an initial condition to determine a particular exponential model.
Interpret parameters and long-term behavior of exponential or logistic models.
Identify carrying capacity and equilibrium behavior in a logistic model.

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Adaptive questions on exponential and logistic models.

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PreviousSolving separable differential equations Next lessonEuler’s method approximations