A drug is infused intravenously (IV) for treatment of a particular disease. The infusion rate of the drug is ko. The volume of the body fluid V = 20 liters. The drug is excreted (removed) through the kidneys at rate ke, proportional to the concentration of the drug in the body fluids. The drug is ineffective and not used by the body if its concentration is below Cmin and it is metabolized at a rate km as the concentration is Cmin. Let the parameter values Cmin = 4 mg/l, ke = 0.3/hr and km = 0.2/hr. a) Write a differential equation in which the infusion rate is the input signal, and the drug concentration in the body fluid is the output signal. b) Calculate the value for the injection rate so that drug concentration in the body fluid reaches Cmin level after 1 hour. c) What would be the value for the injection rate if we want to keep the drug concentration at 10 mg/l in the steady state