\[ a y(x)^3+9 x^2 y''(x)+2 y(x)=0 \] ✗ Mathematica : cpu = 2.32423 (sec), leaf count = 0 , could not solve
DSolve[2*y[x] + a*y[x]^3 + 9*x^2*Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.191 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\it \_C2}\,{\it JacobiSN} \left ( \left ( {\frac {\sqrt {2}}{2\,{x}^{3}}\sqrt {{x}^{{\frac {20}{3}}}a}}+{\it \_C1} \right ) {\it \_C2},i \right ) \sqrt [3]{x} \right \} \]