\[ a y(x) y'(x)+x y(x) y''(x)-2 x y'(x)^2=0 \] ✓ Mathematica : cpu = 0.273819 (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 = 1.218 (sec), leaf count = 27
\[\left \{y \left (x \right ) = -\frac {\left (a -1\right ) x^{a}}{-c_{1} x +c_{2} \left (a -1\right ) x^{a}}\right \}\]