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Textbook Expert
Textbook ExpertVerified Tutor
23 Nov 2021

Given information

The question is

One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction of the population who have heard the rumor and the fraction who have not heard the rumor

Step-by-step explanation

Step 1.

 

is the rate of change

is the fraction who have heard the rumor

is the fraction who have not heard the rumor

Since the rate of change is directly proportional to the fraction who have heard the rumor and not heard the rumor

These function are multiplied together with a constant

solution of differential equation is

 

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