\[ a y(x) y'(x)^2+b x+x^2 y''(x)=0 \] ✗ Mathematica : cpu = 31.0361 (sec), leaf count = 0
, could not solve
DSolve[b*x + a*y[x]*Derivative[1][y][x]^2 + x^2*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \left (\textit {\_a} \,{\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=\left (a \,\textit {\_a}^{3}+b \right ) \textit {\_}b\left (\textit {\_a} \right )^{3}+\left (2 \textit {\_a}^{2} a +1\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}+\textit {\_a} \textit {\_}b\left (\textit {\_a} \right ) a \right \}, \left \{\textit {\_a} =\frac {y \relax (x )}{x}, \textit {\_}b\left (\textit {\_a} \right )=-\frac {x}{-x \left (\frac {d}{d x}y \relax (x )\right )+y \relax (x )}\right \}, \left \{x ={\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}, y \relax (x )=\textit {\_a} \,{\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right \}\right ]\]