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 differential equation for habitat destruction and describe the predicted population dynamics. n′=(e−t−1)nn(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.