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Exercise 6.1.4 Consider (6.1) and (6.2) in the case that ka = 4, kg = 1, ke = 3, and g(t) = 0. The system becomes úp(t) = -4up(t)+4ur(t) úr (1) = up(t) – 4ur (t). Suppose the initial conditions are up(0) = 1 and ur (0) = 0 (so a dose of 1 unit of a drug is njected into the plasma or bloodstream at time t = 0, with none in the tissue). Verify that the functions up(t) : %3D uT (t) = 17- provide a solution with the proper initial conditions. Plot up(t) and uT (t) both on the interval

Exercise 6.1.4 Consider (6.1) and (6.2) in the case that ka = 4, kg = 1, ke = 3, and g(t) = 0. The system becomes úp(t) = -4up(t)+4ur(t) úr (1) = up(t) – 4ur (t). Suppose the initial conditions are up(0) = 1 and ur (0) = 0 (so a dose of 1 unit of a drug is njected into the plasma or bloodstream at time t = 0, with none in the tissue). Verify that the functions up(t) : %3D uT (t) = 17- provide a solution with the proper initial conditions. Plot up(t) and uT (t) both on the interval

Advanced Engineering Mathematics
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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Exercise 6.1.4 Consider (6.1) and (6.2) in the case that ka = 4, kp = 1, ke = 3, and g(t) = 0. The system becomes úp(t) = -4up(t)+4u7(t) ür (t) = up(t) – 4ur (t). Suppose the initial conditions are up(0) = 1 and ur (0) = 0 (so a dose of 1 unit of a drug is injected into the plasma or bloodstream at time t = 0, with none in the tissue). Verify that the functions up(t) 2 e-21 uT (t) provide a solution with the proper initial conditions. Plot up(t) and ur (1) both on the interval 0<i<5 and comment: do these make sense for the amount of drug in the plasma and tissue?
Transcribed Image Text:Exercise 6.1.4 Consider (6.1) and (6.2) in the case that ka = 4, kp = 1, ke = 3, and g(t) = 0. The system becomes úp(t) = -4up(t)+4u7(t) ür (t) = up(t) – 4ur (t). Suppose the initial conditions are up(0) = 1 and ur (0) = 0 (so a dose of 1 unit of a drug is injected into the plasma or bloodstream at time t = 0, with none in the tissue). Verify that the functions up(t) 2 e-21 uT (t) provide a solution with the proper initial conditions. Plot up(t) and ur (1) both on the interval 0<i<5 and comment: do these make sense for the amount of drug in the plasma and tissue?
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