2.1681   ODE No. 1681

\[ a y(x)^3+9 x^2 y''(x)+2 y(x)=0 \] Mathematica : cpu = 2.25154 (sec), leaf count = 41


\[\left \{\left \{y(x)\to c_2 \sqrt [3]{x} \text {sn}\left (\left .\left (c_1+\frac {\sqrt {a x^{20/3}}}{\sqrt {2} x^3}\right ) c_2\right |-1\right )\right \}\right \}\] Maple : cpu = 0.858 (sec), leaf count = 31


\[y \relax (x ) = c_{2} \mathrm {sn}\left (\left (\frac {\sqrt {2}\, \sqrt {x^{\frac {20}{3}} a}}{2 x^{3}}+c_{1}\right ) c_{2}| i\right ) x^{\frac {1}{3}}\]