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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. Let's assume that the constant of proportionality is k = Write a differential equation that is satisfied by y

P(t) = 130, P(t) = P(t) = 120, P(t) = P(t) = 110, P(t) = 570