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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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Section
BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

(a) Write a differential equation that expresses the law of natural growth.

(b) Under what circumstances is this an appropriate model for population growth?

(c) What are the solutions of this equation?

(a)

To determine

To express: The law of natural growth.

Explanation

If y(t) is the value of quantity y at time t and if the rate of change of y with respect to t is proportional to its size y(<

(b)

To determine

To find: The circumstances is this an appropriate model for population growth.

(c)

To determine

To find: The solutions of the equation.

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