#363 Suppose Glucose enters the bloodstream

Suppose Glucose enters the bloodstream - Math

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Suppose Glucose enters the bloodstream at a constant rate r gm/min and it is removed at a rate proportional to its instantaneous amount a(t). Set up and solve the differential equation for a(t) assuming that there was an initial amount a(0) = a0 of glucose present initially. What will the eventual concentration of glucose be in this case? You may use k as the constant of proportionality: “rate of removal = ka(t)”. The answers to this problem will not involve numbers, only the problem’s parameters r and k.

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