\[ y''(x) (a y(x)+b)+c y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0598874 (sec), leaf count = 31
\[\left \{\left \{y(x)\to \frac {\left (c_1 (a+c) \left (c_2+x\right )\right ){}^{\frac {a}{a+c}}-b}{a}\right \}\right \}\]
✓ Maple : cpu = 0.059 (sec), leaf count = 42
\[ \left \{ y \left ( x \right ) ={\frac {1}{a} \left ( \left ( {\it \_C1}\,x+{\it \_C2} \right ) \left ( a+c \right ) \left ( {\frac {1}{ \left ( a+c \right ) \left ( {\it \_C1}\,x+{\it \_C2} \right ) }} \right ) ^{{\frac {c}{a+c}}}-b \right ) } \right \} \]