The use of differential equations is natural in studying various processes

Abstract

From the discussed article, it is clear that differential equations are used to create mathematical models of
many real-life problems. Therefore, studying different methods of their solution will allow us to examine and analyze
the mentioned types of models. This paper serves this purpose.
Here, the first-order differential equation is used to describe natural processes and is solved considering the
initial condition. In particular, such exponential changes are considered, during which for a given time T, the
quantity Y increases or decreases proportionally to its size. Population and radioactive decay processes are given as
examples of such dependencies. These quantities are said to undergo exponential changes.