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1 year ago

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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.

1 answer:

Alex787 [66]1 year 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).

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<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

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