Applying SEE transform on ordinary differential equation with variable coefficients

The ability of differential equations to demonstrate and predict the behavioral changes in the problems of many scientific and engineering fields has given them vast importance in the mathematical world. Hence, many integral transforms have been proposed and studied to benefit as much from them in these fields. Integral transforms represent an essential branch of mathematics that possesses an extraordinary capability to handle differential equations. In this paper, the capability of the novel (Sadiq-Emad-Eman) SEE integral transform in solving ordinary differential equations with variable coefficients without resorting to a new frequency domain has been studied and demonstrated.