\[ a y(x) y'(x)+x y(x) y''(x)+2 x y'(x)^2=0 \] ✓ Mathematica : cpu = 0.234885 (sec), leaf count = 40
\[\left \{\left \{y(x)\to c_2 \left (3 x^{1-a}-(a-1) c_1\right ){}^{-\frac {a-1}{3 (1-a)}}\right \}\right \}\] ✓ Maple : cpu = 0.938 (sec), leaf count = 148
\[y \relax (x ) = \frac {x^{-a} 3^{\frac {1}{3}} \left (\left (a -1\right )^{2} \left (c_{2} \left (a -1\right ) x^{a}-c_{1} x \right ) x^{2 a}\right )^{\frac {1}{3}}}{a -1}\]