2.1317   ODE No. 1317

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

\[ \left (3 x^2-1\right ) y'(x)+x \left (x^2-1\right ) y''(x)+x y(x)=0 \] Mathematica : cpu = 0.0877478 (sec), leaf count = 38

\[\left \{\left \{y(x)\to c_2 G_{2,2}^{2,0}\left (x^2|\begin {array}{c} \frac {1}{2},\frac {1}{2} \\ 0,0 \\\end {array}\right )+\frac {2 c_1 K\left (x^2\right )}{\pi }\right \}\right \}\] Maple : cpu = 0.264 (sec), leaf count = 13

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{\it EllipticK} \left ( x \right ) +{\it \_C2}\,{\it EllipticCK} \left ( x \right ) \right \} \]