Figure 4

The known analytical solution \(\pmb{y = 1/\sqrt{1+ x^{2}/3}}\) [ 10 ] of the spherical equation ( 8 ) with \(\pmb{D=3}\) , \(\pmb{n = 5}\) , and boundary conditions \(\pmb{y(0)=1}\) and \(\pmb{y'(0)=0}\) . The solution enters and stays in the region between the dashed curves \(y_{\pm}= \pm 1/\sqrt{2x}\) where it cannot oscillate. The upper dashed curve \(y_{+}\) also represents the singular solution (15) with \(n=5\).