Physical Sciences and Mathematics Commons^™

Possible Contamination From Rainwater In Community Pool, David Mcgregor

Undergraduate Journal of Mathematical Modeling: One + Two

The project is meant to create an equation that can be used to estimate the amount of organic pollutant – bacteria - that is present in a swimming pool per day from rainwater. This equation is derived through a differential equation of the rate in minus the rate out. The created differential equation is an ordinary linear differential equation and is solved using an integration factor. The general solution is then converted into a specific equation using an initial condition. The resulting equation provides an approximate number of organic contaminants x(t) present in the pool after an …