\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/16\,{\frac {32\,{x}^{5}y \left ( x \right ) +8\,{x}^{3}+32\,{x}^{5}+64\,{x}^{6} \left ( y \left ( x \right ) \right ) ^{3}+48\,{x}^{4} \left ( y \left ( x \right ) \right ) ^{2}+12\,{x}^{2}y \left ( x \right ) +1}{{x}^{6} \left ( 4\,{x}^{2}y \left ( x \right ) +1+4\,{x}^{2} \right ) }}=0} \]
Mathematica: cpu = 0.021503 (sec), leaf count = 106 \[ \left \{\left \{y(x)\to \frac {1}{64 x^8 \left (\frac {1}{64 x^8}-\frac {1}{x^8 \sqrt {c_1+\frac {8192}{x}}}\right )}-\frac {4 x^2+1}{4 x^2}\right \},\left \{y(x)\to \frac {1}{64 x^8 \left (\frac {1}{x^8 \sqrt {c_1+\frac {8192}{x}}}+\frac {1}{64 x^8}\right )}-\frac {4 x^2+1}{4 x^2}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 83 \[ \left \{ y \left ( x \right ) =-{\frac {1}{4\,{x}^{2}} \left ( -4\,{x}^{2 }+\sqrt {{\frac {x{\it \_C1}+2}{x}}}-1 \right ) \left ( \sqrt {{\frac { x{\it \_C1}+2}{x}}}-1 \right ) ^{-1}},y \left ( x \right ) =-{\frac {1}{4 \,{x}^{2}} \left ( 4\,{x}^{2}+\sqrt {{\frac {x{\it \_C1}+2}{x}}}+1 \right ) \left ( \sqrt {{\frac {x{\it \_C1}+2}{x}}}+1 \right ) ^{-1}} \right \} \]