The concentrations of glucose and insulin in an individual interact with each other and vary over time. A mathematical model for the concentrations of insulin and glucose in an individual is given by the system xi = x1 + 3 x2 x2 = 4 x1 + 5 x2 Find the general solution for this system. Then find the formula for = 2 and x2(0) X1(t) and x2 (t) if x1 (0) = 1.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 15CT
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The concentrations of glucose and insulin in an individual interact
with each other and vary over time. A mathematical model for the
concentrations of insulin and glucose in an individual is given by the
system
x = x1 + 3 x2
x2 = 4 x1 + 5 x2
Find the general solution for this system. Then find the formula for
= 2 and x2(0)
x1(t) and x2 (t) if x1 (0)
= 1.
Transcribed Image Text:The concentrations of glucose and insulin in an individual interact with each other and vary over time. A mathematical model for the concentrations of insulin and glucose in an individual is given by the system x = x1 + 3 x2 x2 = 4 x1 + 5 x2 Find the general solution for this system. Then find the formula for = 2 and x2(0) x1(t) and x2 (t) if x1 (0) = 1.
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