fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with detailed explanation. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years the population has doubled, and after three years the population is 20,000, find an expression for the approximate population of the country at any time and estimate the number of people initially living in the country.

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A: The solution is given by using method of variation of parameters as follows

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