\[ 4 x y'(x)^3-6 y(x) y'(x)^2+3 y(x)-x=0 \] ✓ Mathematica : cpu = 0.0579034 (sec), leaf count = 114
DSolve[-x + 3*y[x] - 6*y[x]*Derivative[1][y][x]^2 + 4*x*Derivative[1][y][x]^3 == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {-\sqrt {2} \sqrt {c_1 x^3+3 c_1{}^2 x^2+3 c_1{}^3 x+c_1{}^4}-c_1{}^2}{3 c_1}\right \},\left \{y(x)\to \frac {\sqrt {2} \sqrt {c_1 x^3+3 c_1{}^2 x^2+3 c_1{}^3 x+c_1{}^4}-c_1{}^2}{3 c_1}\right \}\right \}\] ✓ Maple : cpu = 0.06 (sec), leaf count = 84
dsolve(4*x*diff(y(x),x)^3-6*y(x)*diff(y(x),x)^2+3*y(x)-x=0,y(x))
\[y \left (x \right ) = x\]