One model for the spread of a rumor is that the rate of spread is proportional to
Question:
(a) Write a differential equation that is satisfied by y.
(b) Solve the differential equation.
(c) A small town has 1000 inhabitants. At 8 AM, 80 people have heard a rumor. By noon half the town has heard it. At what time will 90% of the population have heard the rumor?
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a Our assumption is that dydt ky1 y where y is the fraction of the population that has ...View the full answer
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