\[ x y(x) y''(x)+x y'(x)^2-y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.035775 (sec), leaf count = 18
\[\left \{\left \{y(x)\to c_2 \sqrt {c_1+x^2}\right \}\right \}\] ✓ Maple : cpu = 0.039 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) =\sqrt {{\it \_C1}\,{x}^{2}+2\,{\it \_C2}},y \left ( x \right ) =-\sqrt {{\it \_C1}\,{x}^{2}+2\,{\it \_C2}} \right \} \]