\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-{\frac {-y \left ( x \right ) +\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}{x}^{2}-x\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}y \left ( x \right ) +{x}^{4}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}-{x}^{3}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}y \left ( x \right ) +{x}^{5}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}-{x}^{4}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}y \left ( x \right ) }{x}}=0} \]
Mathematica: cpu = 0.139018 (sec), leaf count = 189 \[ \left \{\left \{y(x)\to \frac {x \left (-2 e^{\sqrt {2} c_1+\frac {\sqrt {2} x^5}{5}+\frac {x^4}{2 \sqrt {2}}+\frac {x^2}{\sqrt {2}}}+e^{2 \sqrt {2} c_1+\frac {2 \sqrt {2} x^5}{5}+\frac {x^4}{\sqrt {2}}+\sqrt {2} x^2}-1\right )}{2 e^{\sqrt {2} c_1+\frac {\sqrt {2} x^5}{5}+\frac {x^4}{2 \sqrt {2}}+\frac {x^2}{\sqrt {2}}}+e^{2 \sqrt {2} c_1+\frac {2 \sqrt {2} x^5}{5}+\frac {x^4}{\sqrt {2}}+\sqrt {2} x^2}-1}\right \}\right \} \]
Maple: cpu = 0.202 (sec), leaf count = 65 \[ \left \{ \ln \left ( 2\,{\frac {x \left ( \sqrt {2\, \left ( y \left ( x \right ) \right ) ^{2}+2\,{x}^{2}}+y \left ( x \right ) +x \right ) }{y \left ( x \right ) -x}} \right ) +{\frac {\sqrt {2}{x}^{5}}{5}}+{\frac { \sqrt {2}{x}^{4}}{4}}+{\frac {\sqrt {2}{x}^{2}}{2}}-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]