\[ y'(x)^4+3 (x-1) y'(x)^2-3 (2 y(x)-1) y'(x)+3 x=0 \] ✓ Mathematica : cpu = 0.039006 (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 = 0.104 (sec), leaf count = 171
\[y \relax (x ) = -x +\frac {5}{6}\]