When predicting population growth, demographers must consider birth and death rates as well as the net change
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When predicting population growth, demographers must consider birth and death rates as well as the net change caused by the difference between the rates of immigration and emigration. Let P be the population at time t and let N be the net increase per unit time resulting from the difference between immigration and emigration. So, the rate of growth of the population is given by
where N is constant. Solve this differential equation to find P as a function of time, when at time t = 0 the size of the population is P0.
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k dP dt dP kP N 1 dp fdt kP N N con...View the full answer
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