Question: 7. Morphine is cleared from the body at a rate proportional to the amount present with a rate constant k given in units of hour14

7. Morphine is cleared from the body at a rate proportional to the amount present with a rate constant k given in units of hour14 A patient is given an injection of mg mg morphine immediately after surgery (if = 0) and again every 7' hours. This continues indenitely. (a) [2 pts] Treating each injection as an instantaneous event, write down a differential equation to model the quantity of morphine m(t) in the patient's body as a function of time. (b) [4 pts] Express the solution to your equation in terms of the Heaviside functions um\") Where n = 0,1,2

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