Study of equations involving derivatives and their applications.
Doctors use differential equations to predict how quickly a drug leaves your body and how much should be given to keep you healthy.
\( \frac{dC}{dt} = -kC \), where \( C \) is the concentration and \( k \) is a constant.
It ensures medicine is effective without being dangerous.
Determining how often to take a painkiller.
Calculating safe levels for anesthesia during surgery.