Solution: A glucose solution is administered intravenously into the bloodstream at a
Chapter 7, Problem 43(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 isdC dt r kCwhere 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 , nd and interpret your answer.
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