A drug is excreted in a patient’s urine. The urine is
monitored continuously using a catheter. A patient is
administered 10 mg of drug at time t = 0 which is excreted at a
RATE of -3*t*1/2 mg/h .

- What is the general equation for the amount of drug in the patient at time t > 0?
- When will the patient be drug free?

- The solution involves solving a simple differential equation through integration.
Therefore the amount of drug in the patient at time t>0 is

- The patient will be drug free when A=0
The patient will be drug free in 2.9 hours.