2.1317   ODE No. 1317

\[ x \left (x^2-1\right ) y''(x)+\left (3 x^2-1\right ) y'(x)+x y(x)=0 \] Mathematica : cpu = 0.0743607 (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 = 0.034 (sec), leaf count = 13


\[y \relax (x ) = c_{1} \EllipticK \relax (x )+c_{2} \EllipticCK \relax (x )\]