\[ y'(x)=\frac {2 x y(x)^2+y(x)^2+4 x y(x) \log (2 x+1)+2 y(x) \log (2 x+1)+2 x \log ^2(2 x+1)+\log ^2(2 x+1)-2}{2 x+1} \] ✓ Mathematica : cpu = 0.0301006 (sec), leaf count = 22
\[\left \{\left \{y(x)\to \frac {1}{c_1-x}-\log (2 x+1)\right \}\right \}\]
✓ Maple : cpu = 0.08 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\frac {-1+ \left ( {\it \_C1}-x \right ) \ln \left ( 2\,x+1 \right ) }{-{\it \_C1}+x}} \right \} \]