2.528 ODE No. 528
\[ a b x+a y'(x)^2+b y(x)+y'(x)^3=0 \]
✓ Mathematica : cpu = 0.551088 (sec), leaf count = 398
DSolve[a*b*x + b*y[x] + a*Derivative[1][y][x]^2 + Derivative[1][y][x]^3 == 0,y[x],x]
\[\text {Solve}\left [\left \{x=-\frac {-a \left (\frac {\sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}{3 \sqrt [3]{2}}+\frac {\sqrt [3]{2} a^2}{3 \sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}-\frac {a}{3}\right )+\frac {3}{2} \left (\frac {\sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}{3 \sqrt [3]{2}}+\frac {\sqrt [3]{2} a^2}{3 \sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}-\frac {a}{3}\right )^2+a^2 \log \left (\frac {\sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}{3 \sqrt [3]{2}}+\frac {\sqrt [3]{2} a^2}{3 \sqrt [3]{-2 a^3+\sqrt {\left (-2 a^3-27 a b x-27 b y(x)\right )^2-4 a^6}-27 a b x-27 b y(x)}}+\frac {2 a}{3}\right )}{b}+c_1\right \},y(x)\right ]\]
✓ Maple : cpu = 0.091 (sec), leaf count = 86
dsolve(diff(y(x),x)^3+a*diff(y(x),x)^2+b*y(x)+a*b*x=0,y(x))
\[y \left (x \right ) = -a x -\frac {\left ({\mathrm e}^{\operatorname {RootOf}\left (-2 a^{2} \textit {\_Z} -3 \,{\mathrm e}^{2 \textit {\_Z}}+8 a \,{\mathrm e}^{\textit {\_Z}}+2 c_{1} b -5 a^{2}-2 b x \right )}-a \right )^{2} {\mathrm e}^{\operatorname {RootOf}\left (-2 a^{2} \textit {\_Z} -3 \,{\mathrm e}^{2 \textit {\_Z}}+8 a \,{\mathrm e}^{\textit {\_Z}}+2 c_{1} b -5 a^{2}-2 b x \right )}}{b}\]