\[ \boxed { {x}^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}-4\,x \left ( y \left ( x \right ) +2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +4\,y \left ( x \right ) \left ( y \left ( x \right ) +2 \right ) =0} \]
Mathematica: cpu = 0.064508 (sec), leaf count = 65 \[ \left \{\left \{y(x)\to -e^{-c_1} x \left (2 \sqrt {2} e^{\frac {c_1}{2}}-x\right )\right \},\left \{y(x)\to e^{\frac {c_1}{2}} x \left (e^{\frac {c_1}{2}} x-2 \sqrt {2}\right )\right \}\right \} \]
Maple: cpu = 1.311 (sec), leaf count = 265 \[ \left \{ y \left ( x \right ) =-2,y \left ( x \right ) ={\frac {{x}^{2}}{{ \it \_C1}} \left ( -2\,{\frac {\sqrt {2}\sqrt {{x}^{2}{\it \_C1}}}{{x}^ {2}}}+1 \right ) },y \left ( x \right ) ={\frac {{x}^{2}}{{\it \_C1}} \left ( 2\,{\frac {\sqrt {2}\sqrt {{x}^{2}{\it \_C1}}}{{x}^{2}}}+1 \right ) },y \left ( x \right ) =-{\frac {1}{{{\it \_C1}}^{2}} \left ( 16 \,{\frac {{{\it \_C1}}^{3} \left ( \sqrt {2}x-4\,{\it \_C1} \right ) }{8 \,{{\it \_C1}}^{2}-{x}^{2}}}+8\,{{\it \_C1}}^{2}-2\,{\frac {{\it \_C1} \, \left ( \sqrt {2}x-4\,{\it \_C1} \right ) {x}^{2}}{8\,{{\it \_C1}}^{2 }-{x}^{2}}}-{x}^{2} \right ) \left ( 4\,{\frac {{\it \_C1}\, \left ( \sqrt {2}x-4\,{\it \_C1} \right ) }{8\,{{\it \_C1}}^{2}-{x}^{2}}}+1 \right ) ^{-1}},y \left ( x \right ) =-{\frac {1}{{{\it \_C1}}^{2}} \left ( -16\,{\frac {{{\it \_C1}}^{3} \left ( \sqrt {2}x+4\,{\it \_C1} \right ) }{8\,{{\it \_C1}}^{2}-{x}^{2}}}+8\,{{\it \_C1}}^{2}+2\,{ \frac {{\it \_C1}\, \left ( \sqrt {2}x+4\,{\it \_C1} \right ) {x}^{2}}{8 \,{{\it \_C1}}^{2}-{x}^{2}}}-{x}^{2} \right ) \left ( -4\,{\frac {{\it \_C1}\, \left ( \sqrt {2}x+4\,{\it \_C1} \right ) }{8\,{{\it \_C1}}^{2}- {x}^{2}}}+1 \right ) ^{-1}} \right \} \]