a} In the study of population dvnamics one of the most famous models for limited population growth is the equation Logistics: dP P [JP E {f1 } Where a, I: are positive constants. Solve the differential equation previous. (Hint: Consider Bernoulli's equation} b} A mathematical model for the rate at which E medicine in the bloodstream is given bv: d1 E=rkx Where in k are positive constants. Let aft} be the function that describes the concentration of medicine in the bloodstream at the time t. Solve the differential equation subject to x{|l]|} = D