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