Solving linear ordinary differential equations by using Shehu transform with variable coefficients

Abstract

Maitama [12,13,14,16] presented the Shehu transform theorem properties. The Shehu transform had been used by Atheros in 2019 to solve differential equations. In this paper, we introduced the Shehu transfrom, which will be used to resolve ordinary and partial differential equations. We advanced the Shehu transform application for solved variable coefficients linear ordinary differential equations who are either homogeneous or inhomogeneous without any initial conditions.

Subject Classification:

• 44 (Integral transforms
• Operational calculus)

Keywords:

• Linear ordinary deferential equations
• Shehu transform