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# As you know, when a course ends, students start to forget the material they have

## Problem 17 Chapter 9.5

Applied Calculus | 5th Edition

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Problem 17

As you know, when a course ends, students start to forget the material they have learned. One model (called the Ebbinghaus model) assumes that the rate at which a student forgets material is proportional to the difference between the material currently remembered and some positive constant, a. (a) Let y = f(t) be the fraction of the original material remembered t weeks after the course has ended. Set up a differential equation for y. Your equation will contain two constants; the constant a is less than y for all t. (b) Solve the differential equation. (c) Describe the practical meaning (in terms of the amount remembered) of the constants in the solution y = f(t).

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As you know, when a course ends, students start to forget the material they have

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Get Full Access to Applied Calculus - 5 Edition - Chapter 9.5 - Problem 17