Author(s)

Joel Mvendaga Orverem^1,2*, Yusuf Haruna², Bala Ma’aji Abdulhamid², Magaji Yunbunga Adamu²

¹Department of Mathematical Sciences, Federal University Dutsin-Ma, Katsina State, Nigeria.
²Department of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, Nigeria.

The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications in various areas of study such as celestial mechanics, fluid mechanics, Steller structure, isothermal gas spheres, thermionic currents and so on. Because of the importance of the equation, the method of generalized Sundman transformation (GST) as proposed by Nakpim and Meleshko is used for linearizing the Emden differential equation. The Emden differential equation considered here is a modification of the equation given by Berkovic. The results obtained in this paper imply that the Emden equation cannot be linearized by a point transformation. The general solution of the modified Emden equation is also obtained.

Emden Differential Equation, Second Order, Ordinary Differential Equation, Generalized Sundman Transformation, Linearization

Orverem, J. , Haruna, Y. , Abdulhamid, B. and Adamu, M. (2021) Linearization of Emden Differential Equation via the Generalized Sundman Transformations. Advances in Pure Mathematics, 11, 163-168. doi: 10.4236/apm.2021.113011.