certain drug is administered intravenously to a patient at the continuous rate of 10 milligrams per hour. The patient's body ren e drug in the blood at time t. Identify the graph of a typical solution. elect the correct differential equation. OA. y'= 10k + y, k>0 B. y'= 10 + ky, k<0 DC. y'= 10 + ky, k>0 OD. y'= 10k + y. k<0
certain drug is administered intravenously to a patient at the continuous rate of 10 milligrams per hour. The patient's body ren e drug in the blood at time t. Identify the graph of a typical solution. elect the correct differential equation. OA. y'= 10k + y, k>0 B. y'= 10 + ky, k<0 DC. y'= 10 + ky, k>0 OD. y'= 10k + y. k<0
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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Transcribed Image Text:A certain drug is administered intravenously to a patient at the continuous rate of 10 milligrams per hour. The patient's body removes the drug from the bloodstream at a rate proportional to the amount of the drug in the blood. Select the differential equation that is satisfied by the amount f(t) = y of
the drug in the blood at time t. Identify the graph of a typical solution.
...
Select the correct differential equation.
A. y' = 10k + y, k>0
В. у'%3D10 + ky, k<0
O C. y' = 10 + ky, k>0
D. y' = 10k + y, k<0
Select the appropriate graph of the solution to the differential equation.
А.
В.
OC.
D.
Ay
6-
Ay
4-
AY
4.
Ay
5-
2-
2-
t
0-
10
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