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N76 [4]
2 years ago
14

Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for t

he proportionality constant.) When an advertising campaign for a new product is introduced into a city of fixed population N, the rate of change of the number y of individuals who have heard about the product at time t is proportional to the number of individuals in the population who have not yet heard about the product.
Mathematics
1 answer:
Alex787 [66]2 years ago
3 0

The differential equation that models the given situation will be dy/dt = K(N - y).

<h3>How to compute the equation?</h3>

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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