At a time t = 0, a technological innovation is introduced into a community with a fixed

Chapter 1, Problem 8

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At a time t = 0, a technological innovation is introduced into a community with a fixed population of n people. Determine a differential equation governing the number of people x(t) who have adopted the innovation at time t if it is assumed that the rate at which the innovation spreads through the community is jointly proportional to the number of people who have adopted it and the number of people who have not adopted it.

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