\[ y'(x)=\frac {x^3 \sqrt {4 x^2 y(x)+1}+\frac {x}{2}+\frac {1}{2}}{x^3 (x+1)} \] ✓ Mathematica : cpu = 0.40609 (sec), leaf count = 66
\[\left \{\left \{y(x)\to \frac {4 x^4+4 x^2 \log ^2(x+1)-8 x^3 \log (x+1)-8 c_1 x^3+4 c_1{}^2 x^2+8 c_1 x^2 \log (x+1)-1}{4 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.688 (sec), leaf count = 30
\[ \left \{ -2\,\ln \left ( 1+x \right ) -{\frac {1}{x}\sqrt {4\,{x}^{2}y \left ( x \right ) +1}}+2\,x+{\it \_C1}=0 \right \} \]