\[ \boxed { \left ( 2\,{x}^{2}+1 \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( \left ( y \left ( x \right ) \right ) ^{2}+2\,xy \left ( x \right ) +{x}^{2}+2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\, \left ( y \left ( x \right ) \right ) ^{2}+1=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 1.779 (sec), leaf count = 37 \[ \left \{ y \left ( x \right ) =-3\,x-2\,\sqrt {2\,{x}^{2}+1},y \left ( x \right ) =-3\,x+2\,\sqrt {2\,{x}^{2}+1} \right \} \]