TEACHER A drug is infused into a patient's bloodstream at a constant rate of r grams per second. Simultaneously, the drug is removed at a rate proportional to the amount x(t) of the drug present at time t. Determine a differential equation for the amount x(t). (Use k > 0 for the constant of proportionality and x for x(t).) dx r- kx(t) dt g/s

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