\[ y'(x)=\frac {2 x y(x)^2+y(x)^2+4 x y(x) \log (2 x+1)+2 y(x) \log (2 x+1)+2 x \log ^2(2 x+1)+\log ^2(2 x+1)-2}{2 x+1} \] ✓ Mathematica : cpu = 0.228767 (sec), leaf count = 22
\[\left \{\left \{y(x)\to -\log (2 x+1)+\frac {1}{-x+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.115 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\frac {-1+ \left ( -x+{\it \_C1} \right ) \ln \left ( 2\,x+1 \right ) }{x-{\it \_C1}}} \right \} \]