Let x mg be the amount of drug in the patient at time t.(adsbygoogle = window.adsbygoogle || []).push({});

Drug is injected into the patient at a rate of P mg per min

The kidneys of the patient remove the drug at a rate proportional to the amount of drug at time t.

At a particular point in time, the drug concentration in the patient remains constant. This constant value is 2.5 P mg

Show that dx/dt = P - 0.4x

Hence express x in terms of P and t

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# Homework Help: Differential Equations and drugs

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