Vol. 14 No. 4 (2024): IJCRT, Volume 14, Issue 4, 2024
Articles

Differential Equations: The Mathematical Framework for Modelling Dynamic Systems

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  • Venkatachalapathi Uday,
  • Gautam Kumar Rajput
Venkatachalapathi Uday
Research Scholar, Department of Mathematics, Sunrise University, Alwar, Rajasthan
Gautam Kumar Rajput
Associate professor, Department of Mathematics, Sunrise University, Alwar, Rajasthan
DOI: https://doi.org/10.61359/2024050028

Published 2024-11-14

Keywords

  • Differential equations, dynamic systems, modeling, solution methods, mathematical modeling.

How to Cite

Venkatachalapathi Uday, & Gautam Kumar Rajput. (2024). Differential Equations: The Mathematical Framework for Modelling Dynamic Systems. IJCRT Research Journal | UGC Approved and UGC Care Journal | Scopus Indexed Journal Norms, 14(4), 50246–50249. https://doi.org/10.61359/2024050028

Copyright (c) 2024 IJCRT Journal | UGC Approved Journal | Scopus Indexed Journal Norms

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Differential equations are essential tools in the mathematical Modelling of dynamic systems, providing a framework for describing phenomena that evolve over time or space. These equations are used across diverse fields, including physics, engineering, biology, economics, and social sciences, to capture the behavior of systems governed by rates of change. This paper explores the role of differential equations in Modelling dynamic systems, presents different types of differential equations, discusses solution methods, and examines the applicability and challenges associated with their use. Through this discussion, we aim to highlight the fundamental importance of differential equations in understanding and predicting the behavior of real-world systems.

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