Solved: Intravenous drug dosing The amount of drug in the

Chapter 7, Problem 29

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Intravenous drug dosing The amount of drug in the blood of a patient (in mg) due to an intravenous line is governed by the initial value problem y _1t2 = -0.02y + 3, y102 = 0 for t 0, where t is measured in hours. a. Find and graph the solution of the initial value problem. b. What is the steady-state level of the drug? c. When does the drug level reach 90% of the steady-state value?

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