Problem 1: Compute the solution of the logistic equation dened by dP/dt= aP bP^2 with the general initial condition, P(t0) = P0. Dene the particular...

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.