The amount of drug in the blood of a patient (in mg) due to an intravenous line

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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'(t) = -0.02y + 3, y(0) = 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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Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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