2.542   ODE No. 542

\[ 16 y(x)^2 y'(x)^3+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0291685 (sec), leaf count = 20


\[\left \{\left \{y(x)\to \sqrt {c_1 x+2 c_1{}^3}\right \}\right \}\] Maple : cpu = 0.549 (sec), leaf count = 107


\[y \relax (x ) = -\frac {2^{\frac {1}{4}} 3^{\frac {1}{4}} \left (-x^{3}\right )^{\frac {1}{4}}}{3}\]