Lane-Emden type equation is a nonlinear differential equation appears in
many fields such as stellar structure, radioactive cooling and modeling of
clusters of galaxies. In this work, this equation is investigated using a
semi-analytical method called the Variation of parameters method with an
auxiliary parameter. In the applied technique, an unknown auxiliary parameter is inserted in Variation of Parameters Method to solve some special cases
of these equations. The used algorithm is easy to implement and very effective. The obtained solutions are also fairly accurate