Exponential decay modelling of radioactive substances: theory and application

This study models the process of radioactive decay, where unstable atomic nuclei spontaneously transform into more stable forms, releasing radiation. The study focuses on applying first-order differential equations to describe this decay process and uses the separation of variables method to solve the equation. The aim is to enhance the understanding of radioactive decay, validate the mathematical model with practical data, and explore its applications across various scientific fields. Additionally, the study highlights the educational benefits of using this approach to teach exponential decay and differential equations, emphasizing its relevance in physics, chemistry, geology, and medicine