\[ (2 y(x)-4 x+1)^2 y'(x)-(y(x)-2 x)^2=0 \] ✓ Mathematica : cpu = 2.58571 (sec), leaf count = 77
\[\text {Solve}\left [\frac {y(x)}{2}+\frac {1}{196} \left (14 y(x)-\left (8-9 \sqrt {2}\right ) \log \left (-7 y(x)+14 x+\sqrt {2}-4\right )-\left (8+9 \sqrt {2}\right ) \log \left (7 y(x)-14 x+\sqrt {2}+4\right )-28 x\right )=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.066 (sec), leaf count = 56
\[-\frac {x}{7}-\frac {9 \sqrt {2}\, \arctanh \left (\frac {\left (7 y \relax (x )-14 x +4\right ) \sqrt {2}}{2}\right )}{98}-\frac {2 \ln \left (7 \left (y \relax (x )-2 x \right )^{2}+8 y \relax (x )-16 x +2\right )}{49}+\frac {4 y \relax (x )}{7}-c_{1} = 0\]