\[ \left (x^2-1\right ) x y'(x)+\left (x^2-1\right ) y(x)^2-x^2=0 \] ✓ Mathematica : cpu = 0.181387 (sec), leaf count = 82
\[\left \{\left \{y(x)\to \frac {x \left (-2 x G_{2,2}^{2,0}\left (x^2|\begin {array}{c} -\frac {1}{2},\frac {1}{2} \\ -1,0 \\\end {array}\right )+\frac {2 c_1 \left (E\left (x^2\right )-K\left (x^2\right )\right )}{\pi x}\right )}{G_{2,2}^{2,0}\left (x^2|\begin {array}{c} \frac {1}{2},\frac {3}{2} \\ 0,0 \\\end {array}\right )+\frac {2 c_1 E\left (x^2\right )}{\pi }}\right \}\right \}\] ✓ Maple : cpu = 0.073 (sec), leaf count = 30
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,{\it EllipticCE} \left ( x \right ) +{\it EllipticE} \left ( x \right ) -{\it EllipticK} \left ( x \right ) }{{\it \_C1}\,{\it EllipticCE} \left ( x \right ) -{\it \_C1}\,{\it EllipticCK} \left ( x \right ) +{\it EllipticE} \left ( x \right ) }} \right \} \]