2. An amount d of a certain drug is administered to a patient every h hours. Let dn bethe amount of the drug in the blood system at the nth interval. Assume that the bodyeliminates a certain fraction a of the drug during each time interval. Find dn and computelim dn.n→∞Hint: Show that dn satisfies dn+1=(1a)dn +d n=0,1,....

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Answered: 2. An amount d of a certain drug is…

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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2. An amount d of a certain drug is administered to a patient every h hours. Let dn be the amount of the drug in the blood system at the nth interval. Assume that the body eliminates a certain fraction a of the drug during each time interval. Find dn and compute lim dn.