A certain drug, if injected into the blood of a human being, will decay at an instantaneous rate of 2% per hour. An i.v. at a rate of 4 mg per hour is given to the patient. At t=0 there is none of he drug in the bloodstream. ) Create the modeling differential equation for the amount of the drug in the bloodstream, y, at time t. ) Solve the differential equation. :) What is the steady-state level of the drug? 1) When does the drug level reach 90% of the steady-state level?
A certain drug, if injected into the blood of a human being, will decay at an instantaneous rate of 2% per hour. An i.v. at a rate of 4 mg per hour is given to the patient. At t=0 there is none of he drug in the bloodstream. ) Create the modeling differential equation for the amount of the drug in the bloodstream, y, at time t. ) Solve the differential equation. :) What is the steady-state level of the drug? 1) When does the drug level reach 90% of the steady-state level?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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