ODE No. 1682

\[ x^3 \left (y''(x)+y(x) y'(x)-y(x)^3\right )+12 x y(x)+24=0 \] Mathematica : cpu = 21.7398 (sec), leaf count = 41

DSolve[24 + 12*x*y[x] + x^3*(-y[x]^3 + y[x]*Derivative[1][y][x] + Derivative[2][y][x]) == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {2+x^3 \wp '(x+c_1;0,c_2)}{x \left (-1+x^2 \wp (x+c_1;0,c_2)\right )}\right \}\right \}\] Maple : cpu = 0. (sec), leaf count = 0

dsolve(x^3*(diff(diff(y(x),x),x)+y(x)*diff(y(x),x)-y(x)^3)+12*x*y(x)+24=0,y(x))
 

, result contains DESol or ODESolStruc

\[y \left (x \right ) = \left (\textit {\_a} \,{\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=\left (-\textit {\_a}^{3}-\textit {\_a}^{2}+14 \textit {\_a} +24\right ) \textit {\_}b\left (\textit {\_a} \right )^{3}+\left (-\textit {\_a} +3\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}\right \}, \left \{\textit {\_a} =x y \left (x \right ), \textit {\_}b\left (\textit {\_a} \right )=-\frac {1}{x \left (x \left (\frac {d}{d x}y \left (x \right )\right )+y \left (x \right )\right )}\right \}, \left \{x ={\mathrm e}^{\int -\textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -c_{1}}, y \left (x \right )=\textit {\_a} \,{\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right \}\right ]\]