\[ \boxed { {\it d0} \left ( x \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+2\,{\it b0} \left ( x \right ) y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +{\it c0} \left ( x \right ) \left ( y \left ( x \right ) \right ) ^{2}+2\,{\it d0} \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,{\it e0} \left ( x \right ) y \left ( x \right ) +{\it f0} \left ( x \right ) =0} \]
Mathematica: cpu = 108.142232 (sec), leaf count = 49 \[ \text {DSolve}\left [a(x) y'(x)^2+2 b(x) y(x) y'(x)+c(x) y(x)^2+2 d(x) y'(x)+2 e(x) y(x)+f(x)=0,y(x),x\right ] \]
Maple: cpu = 19.953 (sec), leaf count = 0 \[ \text {could not solve} \]