\[ a x^3 y'(x) y''(x)+b y(x)^2=0 \] ✗ Mathematica : cpu = 21.085 (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 = 0.355 (sec), leaf count = 42
\[ \left \{ y \left ( x \right ) ={{\rm e}^{\int ^{\ln \left ( x \right ) }\!{\it RootOf} \left ( -\int ^{{\it \_Z}}\!{\frac {{\it \_a}\,a}{{{\it \_a}}^{3}a-{{\it \_a}}^{2}a+b}}{d{\it \_a}}-{\it \_b}+{\it \_C1} \right ) {d{\it \_b}}+{\it \_C2}}} \right \} \]