Lane-Emden equation
= Lane-Emden equation
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{wiki=Lane–Emden_equation}
The classical <Lane-Emden equation> is the dimensionless equation
$$
u''+\frac{2}{r}u'+u^p=0
$$
for a <spherically symmetric> <polytrope> in three dimensions. The <Generalized Lane-Emden equation> extends it to arbitrary dimensions and to functions without radial symmetry.