2.262   ODE No. 262

\[ 2 x^3+\left (2 x^2 y(x)-x^3\right ) y'(x)-4 x y(x)^2+y(x)^3=0 \] Mathematica : cpu = 0.170012 (sec), leaf count = 101


\[\left \{\left \{y(x)\to \frac {2 x^3-\sqrt {e^{4 c_1} x^2-3 e^{2 c_1} x^4}}{x^2+e^{2 c_1}}\right \},\left \{y(x)\to \frac {2 x^3+\sqrt {e^{4 c_1} x^2-3 e^{2 c_1} x^4}}{x^2+e^{2 c_1}}\right \}\right \}\] Maple : cpu = 0.222 (sec), leaf count = 65


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