\[ \boxed { x \left ( y \left ( x \right ) \right ) ^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}- \left ( y \left ( x \right ) \right ) ^{3} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+x \left ( {x}^{2}+1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{2}y \left ( x \right ) =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 1.060 (sec), leaf count = 325 \[ \left \{ y \left ( x \right ) =-{\frac {i}{2}}\sqrt [4]{-16\,{x}^{4}+40 \,{x}^{2}+2-2\,\sqrt {-512\,{x}^{6}+192\,{x}^{4}-24\,{x}^{2}+1}},y \left ( x \right ) =-{\frac {i}{2}}\sqrt [4]{-16\,{x}^{4}+40\,{x}^{2}+2 +2\,\sqrt {-512\,{x}^{6}+192\,{x}^{4}-24\,{x}^{2}+1}},y \left ( x \right ) ={\frac {i}{2}}\sqrt [4]{-16\,{x}^{4}+40\,{x}^{2}+2-2\,\sqrt {-512\,{x}^{6}+192\,{x}^{4}-24\,{x}^{2}+1}},y \left ( x \right ) ={ \frac {i}{2}}\sqrt [4]{-16\,{x}^{4}+40\,{x}^{2}+2+2\,\sqrt {-512\,{x}^ {6}+192\,{x}^{4}-24\,{x}^{2}+1}},y \left ( x \right ) =-{\frac {1}{2} \sqrt [4]{-16\,{x}^{4}+40\,{x}^{2}+2-2\,\sqrt {-512\,{x}^{6}+192\,{x}^ {4}-24\,{x}^{2}+1}}},y \left ( x \right ) ={\frac {1}{2}\sqrt [4]{-16\,{ x}^{4}+40\,{x}^{2}+2-2\,\sqrt {-512\,{x}^{6}+192\,{x}^{4}-24\,{x}^{2}+ 1}}},y \left ( x \right ) =-{\frac {1}{2}\sqrt [4]{-16\,{x}^{4}+40\,{x}^ {2}+2+2\,\sqrt {-512\,{x}^{6}+192\,{x}^{4}-24\,{x}^{2}+1}}},y \left ( x \right ) ={\frac {1}{2}\sqrt [4]{-16\,{x}^{4}+40\,{x}^{2}+2+2\,\sqrt { -512\,{x}^{6}+192\,{x}^{4}-24\,{x}^{2}+1}}} \right \} \]