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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help for c and d.
Transcribed Image Text: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
the drug in the bloodstream.
a) Create the modeling differential equation for the amount of the drug in the bloodstream, y,
at time t.
b) Solve the differential equation.
c) What is the steady-state level of the drug?
d) When does the drug level reach 90% of the steady-state level?
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