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) P(0) = 0.1P 1 1600 P 200); P(0) 1200, =

P' (t) P(0) = 0.1P 1 1600 P 200); P(0) 1200, = 600, P(0) = 800,

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