\[ a x^3 y'(x) y''(x)+b y(x)^2=0 \] ✗ Mathematica : cpu = 1.99553 (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 = 0.117 (sec), leaf count = 42
\[\left \{y \left (x \right ) = {\mathrm e}^{c_{2}+\int _{}^{\ln \left (x \right )}\RootOf \left (c_{1}-\textit {\_b} -\left (\int _{}^{\textit {\_Z}}\frac {\textit {\_a} a}{\textit {\_a}^{3} a -\textit {\_a}^{2} a +b}d \textit {\_a} \right )\right )d \textit {\_b}}\right \}\]