\[ a y(x)^2+b x+c+y(x)^2 y'(x)^2+2 x y(x) y'(x)=0 \] ✗ Mathematica : cpu = 300.189 (sec), leaf count = 0
, timed out
$Aborted
✓ Maple : cpu = 2.416 (sec), leaf count = 551
\[y \relax (x ) = -\frac {\sqrt {16}\, \sqrt {a \left (a \left (a x -\frac {1}{2} b +x \right )^{2} \left (a +1\right )^{2} \RootOf \left (-b \ln \left (2 a x -b +2 x \right )+2 \left (\int _{}^{\textit {\_Z}}-\frac {\left (4 \textit {\_a} \,a^{2}+\sqrt {-\left (4 \textit {\_a} \,a^{3}+8 \textit {\_a} \,a^{2}+4 \textit {\_a} a -1\right ) {\mathrm e}^{\frac {4 a +4}{b}}}\, {\mathrm e}^{-\frac {2 \left (a +1\right )}{b}}+8 \textit {\_a} a +4 \textit {\_a} +1\right ) b}{4 \left (4 \textit {\_a} \,a^{2}+8 \textit {\_a} a +4 \textit {\_a} +a +2\right ) \textit {\_a} \left (a +1\right )}d \textit {\_a} \right ) a +2 c_{1} a +2 \left (\int _{}^{\textit {\_Z}}-\frac {\left (4 \textit {\_a} \,a^{2}+\sqrt {-\left (4 \textit {\_a} \,a^{3}+8 \textit {\_a} \,a^{2}+4 \textit {\_a} a -1\right ) {\mathrm e}^{\frac {4 a +4}{b}}}\, {\mathrm e}^{-\frac {2 \left (a +1\right )}{b}}+8 \textit {\_a} a +4 \textit {\_a} +1\right ) b}{4 \left (4 \textit {\_a} \,a^{2}+8 \textit {\_a} a +4 \textit {\_a} +a +2\right ) \textit {\_a} \left (a +1\right )}d \textit {\_a} \right )+2 c_{1}\right )+\left (-\frac {b x}{4}-\frac {c}{4}\right ) a^{2}+\left (-\frac {b x}{4}-\frac {c}{2}\right ) a -\frac {b^{2}}{16}-\frac {c}{4}\right )}}{2 a \left (a +1\right )}\]