Suppose that glucose is infused into the bloodstream of a patient at the rate of 3 grams per minute, but that the patient's body converts and removes glucose from its blood at a rate proportional to the amount present. Let Q(t) be the amount present at time t, with Q(0) = 120
(a) Write the differential equation for Q.
(b) Solve this differential equation.
(c) Determine what happens to Q in the long run.