Symmetry Analysis of the Modified Emden Equation
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In this project we will compute the symmetries of the modified Emden equation y''+kyy'+y^3=0 for various k. Based on the literature (Leach, J.Math. Phys. 26, 1985; Andriopoulos et al, J. Math. Anal. Appl., 262, 2001) we expect that the symmetry will depend on the value of the parameter k. Additional question we will answer: what other 2nd order ODEs have the same symmetry group as the modified Emden equation?