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The per capita growth rate of many species varies temporally for a variety of reasons, including seasonality and habitat destruction. Suppose n(t) represents the population
The per capita growth rate of many species varies temporally for a variety of reasons, including seasonality and habitat destruction. Suppose n(t) represents the population size at time t, where n is measured in individuals and t is measured in years. Solve the following differential equation. Habitat destruction is modeled as n'=(e^-t - 1)n, n(0) = n0 Here the per capita growth rate declines over time, starting at zero and becoming negative. It is modeled by the function e^-t - 1. n(t)=_______ Describe the predicted population dynamic. The population starts at ______ and decreases, approaching _______in the long run. Thus the population ________
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