\[ y''(x) (a y(x)+b)+c y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0634435 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \frac {\left (c_1 (-(a+c)) \left (-c_2-x\right )\right ){}^{\frac {a}{a+c}}-b}{a}\right \}\right \}\]
✓ Maple : cpu = 0.056 (sec), leaf count = 88
\[ \left \{ y \left ( x \right ) =-{\frac {1}{a} \left ( -{\it \_C1}\,xa-{\it \_C1}\,xc+{b \left ( \left ( {\frac {1}{ \left ( a+c \right ) \left ( {\it \_C1}\,x+{\it \_C2} \right ) }} \right ) ^{{\frac {c}{a} \left ( 1+{\frac {c}{a}} \right ) ^{-1}}} \right ) ^{-1}}-{\it \_C2}\,a-{\it \_C2}\,c \right ) \left ( {\frac {1}{ \left ( a+c \right ) \left ( {\it \_C1}\,x+{\it \_C2} \right ) }} \right ) ^{{\frac {c}{a} \left ( 1+{\frac {c}{a}} \right ) ^{-1}}}} \right \} \]