\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/2\,{\frac {1+2\,{x}^{5}\sqrt {4\,{x}^{2}y \left ( x \right ) +1}}{{x}^{3}}}=0} \]
Mathematica: cpu = 0.184523 (sec), leaf count = 33 \[ \left \{\left \{y(x)\to \frac {-8 c_1 x^6+16 c_1^2 x^2+x^{10}-4}{16 x^2}\right \}\right \} \]
Maple: cpu = 0.187 (sec), leaf count = 26 \[ \left \{ {\it \_C1}-{\frac {1}{x}\sqrt {4\,{x}^{2}y \left ( x \right ) + 1}}+{\frac {{x}^{4}}{2}}=0 \right \} \]