2.541   ODE No. 541

\[ y(x)^2 y'(x)^3+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0287588 (sec), leaf count = 39


\[\left \{\left \{y(x)\to -\sqrt {2 c_1 x+c_1{}^3}\right \},\left \{y(x)\to \sqrt {2 c_1 x+c_1{}^3}\right \}\right \}\] Maple : cpu = 0.554 (sec), leaf count = 103


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