\[ \boxed { \left ( {\it b2}\,y \left ( x \right ) +{\it a2}\,x+{\it c2} \right ) ^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( {\it a1}\,x+{\it b1}\,y \left ( x \right ) +{\it c1} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +{\it b0}\,y \left ( x \right ) +{\it a0}+{\it c0}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 33.103 (sec), leaf count = 0 \[ \text {could not solve} \]