For my Differential Calculus uni course, we were assigned a question about the rate of medication filtration in the blood and I’m so confused. The question states:
The rate for the clearance of a drug is a certain constant r per hour. Assume the mass of the drug in the body at t=0 is 0 when they take a 300mg pill. What is the differential equation for the mass of the drug remaining in the body at time t?
I figured out that the change in mass has to be m(t-dt)=-rm(t), but I cannot for the life of me figure out what m(t) would be, much less how to include the mass at any given time in the differential equation. I’d appreciate any advice I can get!
The rate for the clearance of a drug is a certain constant r per hour. Assume the mass of the drug in the body at t=0 is 0 when they take a 300mg pill. What is the differential equation for the mass of the drug remaining in the body at time t?
I figured out that the change in mass has to be m(t-dt)=-rm(t), but I cannot for the life of me figure out what m(t) would be, much less how to include the mass at any given time in the differential equation. I’d appreciate any advice I can get!