Solving Ordinary Differential Equations Using “Saxena & Gupta Transform”

Abstract

Integral transforms play an important role in solving system of ordinary differential equations and integral equations. In the present paper we discuss some applications of new transform “Saxena & Gupta” transform is an interesting method to solve certain type of system of ODEs. This transform operates by converting a given system of ordinary differential equations into an algebraic equations. Upon solving this algebraic equations, the inverse transform is applied to yield the sought-after solution.

Keywords:Saxena & Gupta transform, inverse Saxena & Gupta transform, system of differential equation, Boundary value problems.

DOI: 10.7176/APTA/89-03

Publication date:August 31^st 2025