MAT212 Assignment 4.pdf - MAT212 Assignment 4 Due date: 11...

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MAT212 Assignment 4Due date: 11 October 2019Total: 20Instructions:Write in blue or black ink only. Show all details.A substance is being infused into a patient’s bloodstream at the rateRmilligrams perminute and is absorbed from the bloodstream at the ratekM, wherekis a positive con-stant andMthe number of milligrams in the bloodstream at timet.(a) Write a differential equation (DE) for the number of milligrams of the substance in thebloodstream at timet, assuming that the infusion of the substance starts at timet= 0.(b) (i) Find the critical point(s) of the DE in (a).(ii) Analyze the stability of the critical point(s).
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