\[ \boxed { \left ( \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2} \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+1 \right ) \left ( x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) \right ) =0} \]
Mathematica: cpu = 0.264034 (sec), leaf count = 74 \[ \text {Solve}\left [\frac {1}{2} \left (i \cot \left (c_1\right ) \left (\log \left (1-\frac {i y(x)}{x}\right )-\log \left (1+\frac {i y(x)}{x}\right )\right )+\log \left (1-\frac {i y(x)}{x}\right )+\log \left (1+\frac {i y(x)}{x}\right )\right )=c_2-\log (x),y(x)\right ] \]
Maple: cpu = 2.324 (sec), leaf count = 52 \[ \left \{ y \left ( x \right ) ={\frac {x \left ( i{\it \_C1}+i-{{\rm e}^{ {\it RootOf} \left ( \ln \left ( x \right ) {\it \_C1}+{\it \_C2}\,{\it \_C1}+{\it \_Z}\,{\it \_C1}-\ln \left ( \left ( 2\,i{\it \_C1}+2\,i-{ {\rm e}^{{\it \_Z}}} \right ) x \right ) -{\it \_C2} \right ) }} \right ) }{{\it \_C1}+1}} \right \} \]