Drug Metabolism The rate at which a drug is absorbed into the bloodstream is modeled by the first-order differential equation:
where and are positive constants and denotes the concentration of the drug in the bloodstream at time . Assume no drug is initially present in the bloodstream.
Find a formula for . You may need to use and in your answer.
I think it may be the constants a and b, but something's throwing me off on how to do this. So far I've tried:
And then I'm guessing I need to use an integrating factor? Or am I just completely wrong here. Any help is greatly appreciated!