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) = 0.05P1 P(0) = 700 P 6): P(0) = 100,

P' (t) = 0.05P1 P(0) = 700 P 6): P(0) = 100, P(0) = 400, 500

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