\[ x y(x) y''(x)+x y'(x)^2-y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.144771 (sec), leaf count = 18
\[\left \{\left \{y(x)\to c_2 \sqrt {x^2+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.875 (sec), leaf count = 31
\[y \relax (x ) = \sqrt {c_{1} x^{2}+2 c_{2}}\]