Applications of Saxena and Gupta Transform in Solving Ordinary Differential Equations

Abstract

This research paper presents a novel approach to solving ordinary differential equations (ODEs) using the Saxena \& Gupta transform, a recently introduced mathematical tool with promising applications in differential equation solving. We apply this transform to various types of ODEs and analyze its effectiveness and give the graphs for different values using Mathematica (version-12.0). The results demonstrate that the Saxena \& Gupta transform provides an efficient and accurate technique for solving ODEs. This research enhances the mathematical framework for solving ODEs and has potential applications in engineering, physics, and applied mathematics.