\[ a y(x) y'(x)^2+b x+x^2 y''(x)=0 \] ✗ Mathematica : cpu = 39.2725 (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 = 2.769 (sec), leaf count = 101
\[\left \{y \left (x \right ) = \mathit {ODESolStruc} \left (\textit {\_a} \,{\mathrm e}^{c_{1}+\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a}}, \left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=\textit {\_a} a \textit {\_}b\left (\textit {\_a} \right )+\left (\textit {\_a}^{3} a +b \right ) \textit {\_}b\left (\textit {\_a} \right )^{3}+\left (2 \textit {\_a}^{2} a +1\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}\right \}, \left \{\textit {\_a} =\frac {y \left (x \right )}{x}, \textit {\_}b\left (\textit {\_a} \right )=\frac {x}{x \left (\frac {d}{d x}y \left (x \right )\right )-y \left (x \right )}\right \}, \left \{x ={\mathrm e}^{c_{1}+\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a}}, y \left (x \right )=\textit {\_a} \,{\mathrm e}^{c_{1}+\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a}}\right \}\right ]\right )\right \}\]