\[ y''(x) (a y(x)+b)+c y'(x)^2=0 \] ✓ Mathematica : cpu = 0.325383 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \frac {-b+(-(c_1 (a+c) (-x-c_2))){}^{\frac {a}{a+c}}}{a}\right \}\right \}\] ✓ Maple : cpu = 0.916 (sec), leaf count = 42
\[y \relax (x ) = \frac {\left (c_{1} x +c_{2}\right ) \left (a +c \right ) \left (\frac {1}{\left (a +c \right ) \left (c_{1} x +c_{2}\right )}\right )^{\frac {c}{a +c}}-b}{a}\]