2.246   ODE No. 246

\[ x (3 y(x)+2 x) y'(x)+3 (y(x)+x)^2=0 \] Mathematica : cpu = 0.137318 (sec), leaf count = 80


\[\left \{\left \{y(x)\to \frac {1}{6} \left (-4 x-\frac {\sqrt {2} \sqrt {-x^4+3 e^{4 c_1}}}{x}\right )\right \},\left \{y(x)\to \frac {1}{6} \left (-4 x+\frac {\sqrt {2} \sqrt {-x^4+3 e^{4 c_1}}}{x}\right )\right \}\right \}\] Maple : cpu = 0.066 (sec), leaf count = 63


\[y \relax (x ) = \frac {-4 x^{2} c_{1}-\sqrt {-2 x^{4} c_{1}^{2}+6}}{6 c_{1} x}\]