\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-2\,{x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,xy \left ( x \right ) =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.562 (sec), leaf count = 169 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{4}- \left ( {\it RootOf} \left ( {x}^{16}-12\,{{\it \_Z}}^{2}{x}^{12}+16\,{{\it \_Z}}^{3}{x}^{ 10}+30\,{{\it \_Z}}^{4}{x}^{8}-96\,{{\it \_Z}}^{5}{x}^{6}+100\,{{\it \_Z}}^{6}{x}^{4}-48\,{{\it \_Z}}^{7}{x}^{2}+9\,{{\it \_Z}}^{8}-16\,{ \it \_C1}\,{x}^{4} \right ) \right ) ^{2}}{2\,x}},y \left ( x \right ) ={ \frac {{x}^{4}- \left ( {\it RootOf} \left ( {\it \_C1}\,{x}^{16}-12\,{ \it \_C1}\,{{\it \_Z}}^{2}{x}^{12}-16\,{\it \_C1}\,{{\it \_Z}}^{3}{x}^ {10}+30\,{\it \_C1}\,{{\it \_Z}}^{4}{x}^{8}+96\,{\it \_C1}\,{{\it \_Z} }^{5}{x}^{6}+100\,{\it \_C1}\,{{\it \_Z}}^{6}{x}^{4}+48\,{\it \_C1}\,{ {\it \_Z}}^{7}{x}^{2}+9\,{\it \_C1}\,{{\it \_Z}}^{8}-16\,{x}^{4} \right ) \right ) ^{2}}{2\,x}} \right \} \]