Problem 1: Compute the solution of the logistic equation deﬁned bydP/dt= aP − bP^2with the general initial condition, P(t0) = P0. Deﬁne the particular solution for the speciﬁc case,a = 2.0, b = 0.002, and P0 = 25. Determine the equilibrium solution for the initial value problemusing the general parameters and the speciﬁed values as an example.
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