?A glucose solution is administered intravenously into the bloodstream at a constant
Chapter 8, Problem 45(choose chapter or problem)
A glucose solution is administered intravenously into the bloodstream at a constant rate . As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration
of the glucose solution in the bloodstream is
where is a positive constant.
(a) Suppose that the concentration at time is
. Determine the concentration at any time
by solving the differential equation.
(b) Assuming that , find
and interpret your answer.
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