Question: Consider the following logistic equations, for t 0. In each case, sketch the direction field, draw the solution curve for each initial condition, and

Consider the following logistic equations, for t ≥ 0. In each case, sketch the direction field, draw the solution curve for each initial condition, and find the equilibrium solutions. A detailed direction field is not needed. Assume t ≥ 0 and P ≥ 0.

P'(t) = 0.02P 4 P(0) = 4000 P 80 P(0) = 1600,

P'(t) = 0.02P 4 P(0) = 4000 P 80 P(0) = 1600, P(0) = 2400,

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