QU 3 a). A drug in the blood stream decays by according to the equation y'= Cy, where y is the concentration of the drug in the bloodstream. If the half-life of the drug is 16 hours, i. what fraction of the drug remains after 10 hours? ii. how long will take for the drug to be completely eliminated from the blood stream? b). Using gamma function, evaluate c). Using the separation of variable method solve the equation differential dy dx²-1) !D dx y+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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QU 3
a). A drug in the blood stream decays by according to the equation
y'= Cy, where y is the concentration of the drug in the bloodstream. If
the half-life of the drug is 16 hours,
i. what fraction of the drug remains after 10 hours?
ii. how long will take for the drug to be completely eliminated from the
blood stream?
b). Using gamma function, evaluate
bx'e* dx
-2x
c). Using the separation of variable method solve the
equation
differential
dy_ y(x²-1)
dx
y+1
Transcribed Image Text:QU 3 a). A drug in the blood stream decays by according to the equation y'= Cy, where y is the concentration of the drug in the bloodstream. If the half-life of the drug is 16 hours, i. what fraction of the drug remains after 10 hours? ii. how long will take for the drug to be completely eliminated from the blood stream? b). Using gamma function, evaluate bx'e* dx -2x c). Using the separation of variable method solve the equation differential dy_ y(x²-1) dx y+1
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