Suppose thay a drug is administered to a person in a single dose, and assume that the drug does not accumulate in body tissue, but is excerted through urine. Denote the amount of drug in the body at time t by x1(t) and in the urine at time t by x2(t). If x1(0)=6 mg and x2(0)=0, can you find a system of differential equations for x1(t) and x2(t) if it takes 20 minutes for the drug to be at one-half of its initial amount in the body?

Given: x1(t) and x2(t) are amount of drug in the body and urine at time t hours respectively and,…

Answered: Suppose thay a drug is administered to…

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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Suppose thay a drug is administered to a person in a single dose, and assume that the drug does not accumulate in body tissue, but is excerted through urine. Denote the amount of drug in the body at time t by x₁(t) and in the urine at time t by x₂(t). If x₁(0)=6 mg and x₂(0)=0, can you find a system of differential equations for x₁(t) and x₂(t) if it takes 20 minutes for the drug to be at one-half of its initial amount in the body?

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