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.

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P'(t) = 0.05P 0.001P²; P(0) = 10, P(0) = 40, P(0) = 80