2.534   ODE No. 534

\[ 4 x y'(x)^3-6 y(x) y'(x)^2+3 y(x)-x=0 \] Mathematica : cpu = 0.0579034 (sec), leaf count = 114


\[\left \{\left \{y(x)\to \frac {-\sqrt {2} \sqrt {c_1 x^3+3 c_1{}^2 x^2+3 c_1{}^3 x+c_1{}^4}-c_1{}^2}{3 c_1}\right \},\left \{y(x)\to \frac {\sqrt {2} \sqrt {c_1 x^3+3 c_1{}^2 x^2+3 c_1{}^3 x+c_1{}^4}-c_1{}^2}{3 c_1}\right \}\right \}\] Maple : cpu = 0.06 (sec), leaf count = 84


\[y \relax (x ) = x\]