Solution-Solution to the logistic equation

Solution to the logistic equation

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Reference no: EM131187356

Suppose growth of a population P (t), with t representing time in days, is modelled by the logistic equation dP/dt=1/20p(10-P) with P(0)=P0=1.

(a) Show that the maximum growth rate, dP/dt, occurs when P = 5.

(b) Use the solution to the logistic equation to find the time t at which this maximum occurs.

Reference no: EM131187356

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Solution to the logistic equation : Suppose growth of a population P (t), with t representing time in days, is modelled by the logistic equation dP/dt=1/20p(10-P) with P(0)=P0=1. (a) Show that the maximum growth rate, dP/dt, occurs when P = 5.

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Solution to the logistic equation

Reference no: EM131187356

Reference no: EM131187356

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