International Journal of Contemporary Research In Multidisciplinary, 2022;1(1):62-67
Ordinary Differential Equations: Theory, Methods, and Applications
Author Name: Anil Kembhavi; Dr. Rajeev Kumar;
Abstract
Ordinary Differential Equations (ODEs) form a critical part of mathematical modeling in physical, biological, and social sciences. They describe how quantities change over time or space and serve as foundational tools in both theoretical and applied mathematics. This paper presents an overview of the theory behind ODEs, common analytical and numerical solution methods, classifications, and applications in real-world systems. Emerging trends in the analysis and application of ODEs are also discussed.
Keywords
Ordinary Differential Equations, initial value problems, analytical methods, numerical methods, applications