2.298   ODE No. 298

\[ 3 x y(x)^2 y'(x)+y(x)^3-2 x=0 \] Mathematica : cpu = 0.0990429 (sec), leaf count = 72


\[\left \{\left \{y(x)\to \frac {\sqrt [3]{x^2+c_1}}{\sqrt [3]{x}}\right \},\left \{y(x)\to -\frac {\sqrt [3]{-1} \sqrt [3]{x^2+c_1}}{\sqrt [3]{x}}\right \},\left \{y(x)\to \frac {(-1)^{2/3} \sqrt [3]{x^2+c_1}}{\sqrt [3]{x}}\right \}\right \}\] Maple : cpu = 0.024 (sec), leaf count = 73


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