\[ a y(x)^3+9 x^2 y''(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 2.25154 (sec), leaf count = 41
DSolve[2*y[x] + a*y[x]^3 + 9*x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 \sqrt [3]{x} \text {sn}\left (\left .\left (c_1+\frac {\sqrt {a x^{20/3}}}{\sqrt {2} x^3}\right ) c_2\right |-1\right )\right \}\right \}\] ✓ Maple : cpu = 0.858 (sec), leaf count = 31
dsolve(9*x^2*diff(diff(y(x),x),x)+a*y(x)^3+2*y(x)=0,y(x))
\[y \left (x \right ) = c_{2} \mathrm {sn}\left (\left (\frac {\sqrt {2}\, \sqrt {x^{\frac {20}{3}} a}}{2 x^{3}}+c_{1}\right ) c_{2}| i\right ) x^{\frac {1}{3}}\]