Write first-order differential equations that express the situation: The increase in the number of people who have heard a rumor in a town of populati

Tobias Ali

Tobias Ali

Answered question

2021-07-05

Write first-order differential equations that express the situation: The increase in the number of people who have heard a rumor in a town of population 20,00020,000 is proportional to the product of the number PP who have heard the rumor and the number who have not heard the rumor at time tt .

Answer & Explanation

izboknil3

izboknil3

Skilled2021-07-06Added 99 answers

dPdt=kP(20,000P),(k>0)
P is the number of people who have heard the rumor and 20,000-P is the number of people who have not heard the rumor. k is the proportionality constant.

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