1. Dialysis treatment removes urea and other waste products from a patient's blood by diverting some of the blood flow externally through a machine called a dialyzer. Assume that the dialyzer removes all of the waste products from the blood that it treats. Suppose the amount of waste product is measured in mg, a patient's blood volume is V ml, and the patient's blood is diverted through the dialyzer at a rate of K mL/min. (a) Write a differential equation for the amount of waste in the blood at time t. (b) Give the units and sign of any constants appearing in your equation. (c) Draw a phase line or phase plot, find all equilibria, and classify each as unstable or locally stable. (d) Determine the limit of waste product amount as t - co. If this limit depends on the initial condition, describe how