\[ 2 (x-1) x y'(x)+(x-1) y(x)^2-x=0 \] ✓ Mathematica : cpu = 0.077096 (sec), leaf count = 63
\[\left \{\left \{y(x)\to -\frac {2 \left (\pi G_{2,2}^{2,0}\left (x\left |\begin {array}{c} \frac {1}{2},\frac {3}{2} \\ 0,1 \\\end {array}\right .\right )+c_1 (K(x)-E(x))\right )}{\pi G_{2,2}^{2,0}\left (x\left |\begin {array}{c} \frac {1}{2},\frac {3}{2} \\ 0,0 \\\end {array}\right .\right )+2 c_1 E(x)}\right \}\right \}\]
✓ Maple : cpu = 0.199 (sec), leaf count = 97
\[ \left \{ y \left ( x \right ) ={\frac {x}{2\,x-2} \left ( {\it LegendreQ} \left ( -{\frac {1}{2}},1,{\frac {2-x}{x}} \right ) {\it \_C1}-{\it LegendreQ} \left ( {\frac {1}{2}},1,{\frac {2-x}{x}} \right ) {\it \_C1}+{\it LegendreP} \left ( -{\frac {1}{2}},1,{\frac {2-x}{x}} \right ) -{\it LegendreP} \left ( {\frac {1}{2}},1,{\frac {2-x}{x}} \right ) \right ) \left ( {\it LegendreQ} \left ( -{\frac {1}{2}},1,{\frac {2-x}{x}} \right ) {\it \_C1}+{\it LegendreP} \left ( -{\frac {1}{2}},1,{\frac {2-x}{x}} \right ) \right ) ^{-1}} \right \} \]