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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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. n→∞ Hint: Show that dn satisfies dn+1 = (1a)dn +d n=0,1,....
Transcribed Image Text: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. n→∞ Hint: Show that dn satisfies dn+1 = (1a)dn +d n=0,1,....
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