\[ \boxed { 9\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +a \left ( y \left ( x \right ) \right ) ^{3}+2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 3.482442 (sec), leaf count = 26 \[ \text {DSolve}\left [a y(x)^3+9 x^2 y''(x)+2 y(x)=0,y(x),x\right ] \]
Maple: cpu = 0.780 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\it \_C2}\,{\it JacobiSN} \left ( \left ( {\frac {\sqrt {2}}{2\,{x}^{3}}\sqrt {{x}^{{\frac {20}{3}}}a}}+ {\it \_C1} \right ) {\it \_C2},i \right ) \sqrt [3]{x} \right \} \]