2.1316   ODE No. 1316

\[ x \left (x^2-1\right ) y''(x)+\left (x^2-1\right ) y'(x)-x y(x)=0 \] Mathematica : cpu = 0.06609 (sec), leaf count = 38


\[\left \{\left \{y(x)\to c_2 G_{2,2}^{2,0}\left (x^2|\begin {array}{c} \frac {1}{2},\frac {3}{2} \\ 0,0 \\\end {array}\right )+\frac {2 c_1 E\left (x^2\right )}{\pi }\right \}\right \}\] Maple : cpu = 0.034 (sec), leaf count = 18


\[y \relax (x ) = c_{1} \EllipticE \relax (x )+c_{2} \left (\EllipticCE \relax (x )-\EllipticCK \relax (x )\right )\]