Solution of Certain System of Ordinary Differential Equations Using “Saxena & Gupta Transform”
Sakshi Gupta
Department of Mathematics, Career Point University, Kota (Rajasthan), India.
Hemlata Saxena
*
Department of Mathematics, Career Point University, Kota (Rajasthan), India.
*Author to whom correspondence should be addressed.
Abstract
Integral transforms play an important role in solving system of ordinary differential equations and integral equations. Integral transformation are essential for solving complex problem in business, engineering, natural sciences, computers, optical science, and modern mathematics. 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. The main advantage of using “Saxena & Gupta” transforms to solve ordinary differential equations is that they convert differential equations into algebraic equations, which are often easier to solve. This method is particulary useful for linear ODEs with constant coefficients and initial conditions, as it simplifies the process and avoids the need for complex integration techniques.
Keywords: Saxena & Gupta transform, inverse Saxena & Gupta transform, system of differential equation, boundary value problems