MODELING REAL-LIFE PROCESSES THROUGH DIFFERENTIAL EQUATIONS IN MATHEMATICS
DOI:
https://doi.org/10.17605/Keywords:
Differential equations, mathematical modeling, real life processes, physical processes, economic models, biological processes, natural processes, mathematical analysis, engineering problems, dynamic systems.Abstract
One of the important areas of mathematics is differential equations, with the help of which many processes in real life can be accurately described and modeled. These equations are used to express changes in various natural, social and technical processes. Differential equations are mainly important in analyzing variable processes, that is, quantities that change continuously depending on time or other parameters. Many processes in our living environment, such as heat transfer, water level changes, population growth, dynamics and evolution of economic indicators, and even physiological processes occurring in the human body, are studied in depth using differential equations. The role of differential equations in translating many problems and phenomena in real life into mathematical models is invaluable.
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