\[ a x^3 y'(x) y''(x)+b y(x)^2=0 \] ✗ Mathematica : cpu = 1.12828 (sec), leaf count = 0
, could not solve
DSolve[b*y[x]^2 + a*x^3*Derivative[1][y][x]*Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.071 (sec), leaf count = 42
\[y \relax (x ) = {\mathrm e}^{\int _{}^{\ln \relax (x )}\RootOf \left (-\left (\int _{}^{\textit {\_Z}}\frac {a \textit {\_a}}{a \,\textit {\_a}^{3}-\textit {\_a}^{2} a +b}d \textit {\_a} \right )-\textit {\_b} +c_{1}\right )d \textit {\_b} +c_{2}}\]