\[ a b x+a y'(x)^2+b y(x)+y'(x)^3=0 \] ✓ Mathematica : cpu = 0.988976 (sec), leaf count = 398
\[\text {Solve}\left [\left \{x=-\frac {-a \left (\frac {\sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}{3 \sqrt [3]{2}}+\frac {\sqrt [3]{2} a^2}{3 \sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}-\frac {a}{3}\right )+\frac {3}{2} \left (\frac {\sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}{3 \sqrt [3]{2}}+\frac {\sqrt [3]{2} a^2}{3 \sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}-\frac {a}{3}\right )^2+a^2 \log \left (\frac {\sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}{3 \sqrt [3]{2}}+\frac {\sqrt [3]{2} a^2}{3 \sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}+\frac {2 a}{3}\right )}{b}+c_1\right \},y(x)\right ]\] ✓ Maple : cpu = 0.124 (sec), leaf count = 86
\[\left \{y \left (x \right ) = -a x -\frac {\left (-a +{\mathrm e}^{\RootOf \left (-2 \textit {\_Z} \,a^{2}+2 c_{1} b -5 a^{2}+8 a \,{\mathrm e}^{\textit {\_Z}}-2 b x -3 \,{\mathrm e}^{2 \textit {\_Z}}\right )}\right )^{2} {\mathrm e}^{\RootOf \left (-2 \textit {\_Z} \,a^{2}+2 c_{1} b -5 a^{2}+8 a \,{\mathrm e}^{\textit {\_Z}}-2 b x -3 \,{\mathrm e}^{2 \textit {\_Z}}\right )}}{b}\right \}\]