\[ a \left (y(x)^2-2 x y(x)+1\right )+\left (x^2-1\right ) y'(x)=0 \] ✓ Mathematica : cpu = 0.0941492 (sec), leaf count = 32
\[\left \{\left \{y(x)\to \frac {c_1 P_a(x)+Q_a(x)}{c_1 P_{a-1}(x)+Q_{a-1}(x)}\right \}\right \}\]
✓ Maple : cpu = 0.279 (sec), leaf count = 231
\[ \left \{ y \left ( x \right ) ={\frac {1}{ \left ( 4+4\,x \right ) a} \left ( 8\, \left ( \left ( a-1/2 \right ) x-a/2+1/2 \right ) \left ( 1+x \right ) {\it \_C1}\,{\it HeunC} \left ( 0,-2\,a+1,0,0,{a}^{2}-a+1/2,2\, \left ( 1+x \right ) ^{-1} \right ) -a \left ( -{\frac {x}{2}}-{\frac {1}{2}} \right ) ^{-2\,a+1} \left ( 1+x \right ) {\it HeunC} \left ( 0,2\,a-1,0,0,{a}^{2}-a+{\frac {1}{2}},2\, \left ( 1+x \right ) ^{-1} \right ) -8\, \left ( x-1 \right ) \left ( {\it HeunCPrime} \left ( 0,-2\,a+1,0,0,{a}^{2}-a+1/2,2\, \left ( 1+x \right ) ^{-1} \right ) {\it \_C1}-1/4\, \left ( -x/2-1/2 \right ) ^{-2\,a+1}{\it HeunCPrime} \left ( 0,2\,a-1,0,0,{a}^{2}-a+1/2,2\, \left ( 1+x \right ) ^{-1} \right ) \right ) \right ) \left ( {\it HeunC} \left ( 0,-2\,a+1,0,0,{a}^{2}-a+{\frac {1}{2}},2\, \left ( 1+x \right ) ^{-1} \right ) {\it \_C1}-{\frac {1}{4} \left ( -{\frac {x}{2}}-{\frac {1}{2}} \right ) ^{-2\,a+1}{\it HeunC} \left ( 0,2\,a-1,0,0,{a}^{2}-a+{\frac {1}{2}},2\, \left ( 1+x \right ) ^{-1} \right ) } \right ) ^{-1}} \right \} \]