Glucose is added intravenously to the bloodstream at the rate of q units per minute, and the body removes glucose from the bloodstream at a rate proportional to the amount present. Assume that Q(t) is the amount of glucose in the bloodstream at time t.
(a) Determine the differential equation describing the rate of change of glucose in the bloodstream with respect to time.
(b) Solve the differential equation from part (a), letting .
