Solve the glucose level example (Example 4) using separation of variables.

Example 4

Suppose glucose is infused into a patient’s bloodstream at a constant rate of a grams per minute. At the same time, glucose is removed from the bloodstream at a rate proportional to the amount of glucose present. Then the amount of glucose, G(t), present at time t satisfies

for some constant K. Solve this equation for G. Does the glucose concentration eventually reach a constant? That is, what happens to G as t→ ∞?

Transcribed Image Text:

dG dt a KG -