\[ a y(x) y'(x)-2 x y'(x)^2+x y(x) y''(x)=0 \] ✓ Mathematica : cpu = 0.227891 (sec), leaf count = 34
\[\left \{\left \{y(x)\to c_2 \left (x^{1-a}+(a-1) c_1\right ){}^{\frac {a-1}{1-a}}\right \}\right \}\] ✓ Maple : cpu = 0.288 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) =-{\frac { \left ( a-1 \right ) {x}^{a}}{{\it \_C2}\, \left ( a-1 \right ) {x}^{a}-{\it \_C1}\,x}} \right \} \]