\[ y'(x)=\frac {4 x^6 y(x)^3+2 x^5 y(x)+2 x^5+3 x^4 y(x)^2+\frac {x^3}{2}+\frac {3}{4} x^2 y(x)+\frac {1}{16}}{x^6 \left (4 x^2 y(x)+4 x^2+1\right )} \] ✓ Mathematica : cpu = 0.0262112 (sec), leaf count = 95
\[\left \{\left \{y(x)\to \frac {-\sqrt {c_1+\frac {8192}{x}}+256 x^2+64}{4 x^2 \left (\sqrt {c_1+\frac {8192}{x}}-64\right )}\right \},\left \{y(x)\to -\frac {\sqrt {c_1+\frac {8192}{x}}+256 x^2+64}{4 x^2 \left (\sqrt {c_1+\frac {8192}{x}}+64\right )}\right \}\right \}\]
✓ Maple : cpu = 0.05 (sec), leaf count = 87
\[ \left \{ y \left ( x \right ) ={\frac {1}{4\,{x}^{2}} \left ( -4\,{x}^{2}-\sqrt {{\frac {x{\it \_C1}+2}{x}}}-1 \right ) \left ( \sqrt {{\frac {x{\it \_C1}+2}{x}}}+1 \right ) ^{-1}},y \left ( x \right ) ={\frac {1}{4\,{x}^{2}} \left ( 4\,{x}^{2}-\sqrt {{\frac {x{\it \_C1}+2}{x}}}+1 \right ) \left ( \sqrt {{\frac {x{\it \_C1}+2}{x}}}-1 \right ) ^{-1}} \right \} \]