2.1681   ODE No. 1681

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ a y(x)^3+9 x^2 y''(x)+2 y(x)=0 \] Mathematica : cpu = 2.76213 (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 = 1.154 (sec), leaf count = 31

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