\[ y'(x)=\frac {x^6 \sqrt {4 x^2 y(x)+1}+x^5 \sqrt {4 x^2 y(x)+1}+x^3 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] ✓ Mathematica : cpu = 0.383536 (sec), leaf count = 81
\[\left \{\left \{y(x)\to -\frac {2 c_1 x^5}{5}-\frac {1}{4} \left (2 c_1-1\right ) x^4-c_1 x^2+c_1^2+\frac {x^{10}}{25}+\frac {x^9}{10}+\frac {x^8}{16}+\frac {x^7}{5}+\frac {x^6}{4}-\frac {1}{4 x^2}\right \}\right \}\]
✓ Maple : cpu = 0.491 (sec), leaf count = 40
\[ \left \{ -{\it \_C1}+{\frac {1}{x} \left ( -4\,{x}^{6}-5\,{x}^{5}-10\,{x}^{3}+10\,\sqrt {4\,{x}^{2}y \left ( x \right ) +1} \right ) }=0 \right \} \]