An antibiotic is being administered intravenously to a patient. Fluid containing 4.5 mg/Cm³ of the antibiotic enters the patient's bloodstream at a rate of 100 Cm³/hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.5 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.What is the general solution to the differential equation for the amount of antibiotic, A(t), in the bloodstream at any time t?

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The Answer of An antibiotic is being administered intravenously to a patient. Fluid containing 4.5 mg/Cm³ of the antibiotic enters the patient's bloodstream at a rate of 100 Cm³/hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.5 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.What is the general solution to the differential equation for the amount of antibiotic, A(t), in the bloodstream at any time t?

An Antibiotic Is Being Administered Intravenously to a Patient