Al-Zughair Transform for Solving Ordinary Differential Equations with Constant Coefficients

Abstract—Ordinary differential equations (ODEs) are important in the field of mathematics due to their spread in various applications. Ordinary differential equations are of two types, one of which is equations with variable coefficients and the other is equations with constant coefficients. Many integral transforms have appeared that solve equations with variable coefficients, including Al-Zughair transform, which solves equations with variable coefficients, whose general formula is: In this paper our aim is to solve ordinary differential equations with constant coefficients by using Al-Zughair transform. Although Al-Zughair transform was only used to solve equations with variable coefficients, we were able to use it to solve ordinary differential equations with constant coefficients because of its important in solving more complex equations.