45. You are modeling the concentration of a drug in a person's blood after they take one pill. We assume that after they take the pill, the drug enters their blood effectively instantaneously. The drug has first order elimination kinetics. Why is the concentration of drug in their blood modeled by the differential equation dt = -kic, c(0) = Co 46. Given the differential equation describing the number of individuals in a population at time t N'(t ) = (r - m)N If r > m, what is happening to the population at time t? 47. Given the differential equation y' (t ) = - and the initial condition yo = 100, what is the solution to this initial value