A certain drug is administered intravenously to a patient at the continuous rate of 6

milligrams per hour. The patient's body removes the drug from the

bloodstream at a rate proportional to the amount of the drug in the

blood. Write a differential equation that is satisfied by the amount f(t) of the drug in the blood at time t. (Use k for the constant of proportionality where k < 0.)

milligrams per hour. The patient's body removes the drug from the

bloodstream at a rate proportional to the amount of the drug in the

blood. Write a differential equation that is satisfied by the amount f(t) of the drug in the blood at time t. (Use k for the constant of proportionality where k < 0.)

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