\[ \boxed { x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -x \left ( y \left ( x \right ) -x \right ) \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}-y \left ( x \right ) =0} \]
Mathematica: cpu = 0.123016 (sec), leaf count = 99 \[ \left \{\left \{y(x)\to \frac {x \left (-2 e^{\sqrt {2} c_1+\frac {x^2}{\sqrt {2}}}+e^{2 \sqrt {2} c_1+\sqrt {2} x^2}-1\right )}{2 e^{\sqrt {2} c_1+\frac {x^2}{\sqrt {2}}}+e^{2 \sqrt {2} c_1+\sqrt {2} x^2}-1}\right \}\right \} \]
Maple: cpu = 0.156 (sec), leaf count = 49 \[ \left \{ \ln \left ( 2\,{\frac {x \left ( \sqrt {2\, \left ( y \left ( x \right ) \right ) ^{2}+2\,{x}^{2}}+y \left ( x \right ) +x \right ) }{y \left ( x \right ) -x}} \right ) +{\frac {\sqrt {2}{x}^{2}}{2}}-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]