Another model that can be used to represent population growth is the Gompertz equation, which is the solution of the differential equation dy (). k In Y dt where k is a constant and L is the carrying capacity. (a) Solve the differential equation. (b) Describe the behavior of the graph as t → o. (c) Graph the equation you found in part (a) for L = 5000, yo = 500, and k = 0.02.

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