\[ y'(x)=\frac {x^6 \sqrt {4 x^2 y(x)+1}+x^5 \sqrt {4 x^2 y(x)+1}+x^3 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] ✓ Mathematica : cpu = 0.415325 (sec), leaf count = 74
\[\left \{\left \{y(x)\to \frac {16 x^{12}+40 x^{11}+25 x^{10}+80 x^9+100 x^8+100 x^6-160 c_1 x^7-200 c_1 x^6-400 c_1 x^4+400 c_1{}^2 x^2-100}{400 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.523 (sec), leaf count = 34
\[ \left \{ {\it \_C1}-{\frac {1}{x}\sqrt {4\,{x}^{2}y \left ( x \right ) +1}}+{x}^{2}+{\frac {{x}^{4}}{2}}+{\frac {2\,{x}^{5}}{5}}=0 \right \} \]