\[ x^2 (-y(x)) y'(x)+y'(x) y''(x)-x y(x)^2=0 \] ✗ Mathematica : cpu = 51.4343 (sec), leaf count = 0
, could not solve
DSolve[-(x*y[x]^2) - x^2*y[x]*Derivative[1][y][x] + Derivative[1][y][x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \textit {\_}b\left (\textit {\_a} \right )\boldsymbol {\mathrm {where}}\left [\left \{-\textit {\_}b\left (\textit {\_a} \right )^{2} \textit {\_a}^{2}+\left (\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )\right )^{2}+c_{1}=0\right \}, \left \{\textit {\_a} =x , \textit {\_}b\left (\textit {\_a} \right )=y \relax (x )\right \}, \left \{x =\textit {\_a} , y \relax (x )=\textit {\_}b\left (\textit {\_a} \right )\right \}\right ]\]