diana is sick in hospital with a severe bacterial infection. she is to be fed antibiotics intravenously at a constant infusion rate, and the doctor knows that the anti-biotic will be eliminated from the bloodstream at a rate proportional to the amount y(t) present in the bloodstream at time t. if the half-life of the anti-biotic in the bloodstream is 2 hours, what rate of infusion should he prescribe to maintain a long-term amount of 400 mgs in diana’s bloodstream?
