In this work we apply the differential transformation method (Zhou’s method) or DTM for solving white-dwarfs equation which Chandrasekhar  introduced in his study of the gravitational potential of these degenerate (white-dwarf) stars. DTM may be considered as alternative and efficient for finding the approximate solutions of the initial values problems. We prove superiority of this method by applying them on the some Lane-Emden type equation, in this case. The power series solution of the reduced equation transforms into an approximate implicit solution of the original equation.
 A. M. Wazwaz, “A New Algorithm for Solving Differential Equations of Lane-Emden Type,” Applied Mathematics and Computation, Vol. 118, No. 2-3, 2001, pp. 287310.
 R. A. Gorder, “An Elegant Perturbation Solution for the Lane-Emden Equation of the Second Kind,” New Astronomy, Vol. 2, No. 16, 2011, pp. 65-67. http://dx.doi.org/10.1016/j.newast.2010.08.005
 J. I. Ramos, “Series Approach to the Lane-Emden Equation and Comparison with the Homotopy Perturbation Method,” Chaos Solitons Fractals, Vol. 38, No. 2, 2008, pp. 400-408.
 C. M. Khalique and P. Ntsime, “Exact Solutions of the Lane-Emden Type Equation,” New Astronomy, Vol. 7, No. 13, 2008, pp. 476-480. http://dx.doi.org/10.1016/j.newast.2008.01.002
 G. Hojjati and K. Parand, “An Efficient Computational Algorithm for Solving the Nonlinear Lane-Emden Type Equations,” International Journal of Mathematics and Computation, Vol. 4, No. 7, 2011, pp. 182-187.
 N. Kumar and R. Pandey, “Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration,” ISRN Astronomy and Astrophysics, Vol. 2011, 2011, Article ID: 351747. http://dx.doi.org/10.5402/2011/351747