Figure 3From: A criterion for oscillations in the solutions of the polytropic Lane-Emden equations The numerical solution of the spherical equation ( 8 ) with \(\pmb{D=3}\) , \(\pmb{n = 3}\) , and boundary conditions \(\pmb{y(0)=1}\) and \(\pmb{y'(0)=0}\) . The solution turns around every time it overshoots the region of no oscillations between the dashed curves \(y_{\pm}= \pm 1/(2x)\).Back to article page