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In a city with a population of 500,000, the rate of change of the number of...

In a city with a population of 500,000, the rate of change of the number of people who have heard a certain rumor is proportional to the number of those who have not yet heard the rumor. Write a differential equation whose solution y is the number of people who have heard the rumor at time t. (Note: Use k for the proportionality constant with k > 0.)

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