\[ y'(x)^4+3 (x-1) y'(x)^2-3 (2 y(x)-1) y'(x)+3 x=0 \] ✓ Mathematica : cpu = 0.0423178 (sec), leaf count = 113
\[\left \{\left \{y(x)\to \frac {1}{12} \left (-\sqrt {64 x^3+48 c_1{}^2 x^2+12 c_1{}^4 x+c_1{}^6}-6 c_1 x+6-c_1{}^3+6 c_1\right )\right \},\left \{y(x)\to \frac {1}{12} \left (\sqrt {64 x^3+48 c_1{}^2 x^2+12 c_1{}^4 x+c_1{}^6}-6 c_1 x+6-c_1{}^3+6 c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.099 (sec), leaf count = 171
\[\left \{y \left (x \right ) = \frac {-2 c_{1}^{4}+\left (-14 x +6\right ) c_{1}^{2}-16 x^{2}+c_{1} \left (-\left (c_{1}^{2}+4 x \right )^{\frac {3}{2}}+6\right )+\left (-c_{1}^{3}+c_{1} \left (-6 x +6\right )+6\right ) \sqrt {c_{1}^{2}+4 x}}{12 c_{1}+12 \sqrt {c_{1}^{2}+4 x}}, y \left (x \right ) = \frac {-2 c_{1}^{4}+\left (-14 x +6\right ) c_{1}^{2}-16 x^{2}+c_{1} \left (\left (c_{1}^{2}+4 x \right )^{\frac {3}{2}}+6\right )+\left (c_{1}^{3}+c_{1} \left (6 x -6\right )-6\right ) \sqrt {c_{1}^{2}+4 x}}{12 c_{1}-12 \sqrt {c_{1}^{2}+4 x}}, y \left (x \right ) = -x +\frac {5}{6}, y \left (x \right ) = x +\frac {1}{6}\right \}\]