Figure 1From: A criterion for oscillations in the solutions of the polytropic Lane-Emden equations The numerical solutions of the cylindrical equation ( 8 ) with \(\pmb{D=2}\) , integer \(\pmb{n = 1-7}\) , and boundary conditions \(\pmb{y(0)=1}\) and \(\pmb{y'(0)=0}\) . The solutions with odd n are oscillatory about \(y=0\), while the solutions with even n are monotonic.Back to article page