👉 The release math, often used to describe the rate at which a substance or concentration changes over time, is fundamental in understanding processes like chemical reactions, drug absorption, and environmental dynamics. It typically involves the differential equation \(\frac{dC}{dt} = -kC\), where \(C\) is the concentration of the substance at time \(t\), and \(k\) is the rate constant. This equation states that the rate of change of concentration is proportional to the negative of the current concentration, leading to exponential decay. Solving this equation yields \(C(t) = C_0 e^{-kt}\), where \(C_0\) is the initial concentration. This model captures how quickly a substance diminishes over time, with \(k\) determining the speed of decay. Adjustments and extensions of this basic model can account for more complex scenarios, such as varying rates or multiple substances interacting.
