T R A C K       P A P E R
ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

Advanced Techniques in Solving First-Order Linear Ordinary Differential Equations

( Volume 11 Issue 1,January 2024 ) OPEN ACCESS
Author(s):

Dr. Raman

Keywords:

Differential equations, ordinary differential equations (ODEs), partial differential equations (PDEs), discuss analytical and numerical solution techniques.

Abstract:

This paper explores the fundamental concepts, methodologies, and applications of differential equations in various scientific and engineering fields. Differential equations, being pivotal in modeling the behavior of dynamic systems, provide essential tools for understanding and predicting the evolution of natural and man-made systems. We investigate both ordinary differential equations (ODEs) and partial differential equations (PDEs), discuss analytical and numerical solution techniques, and highlight recent advancements and applications in areas such as physics, biology, and finance. Our findings underscore the versatility and significance of differential equations in solving complex real-world problems.

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