New Analytic Solution to the Lane-Emden Equation of Index 2

Table 3

Comparison of the first zero of 𝑦(𝑥) between the present MSLM method, numerical values of [22], and results of [12, 37].

4th order	6th order	8th order	10th order	Numerical [22]	References [12, 37]
4.48977895	4.35410947	4.35287815	4.35287460	4.35287460	4.3528745959