2.484   ODE No. 484

\[ \left (2 x y(x)-x^2\right ) y'(x)^2-6 x y(x) y'(x)-y(x)^2+2 x y(x)=0 \] Mathematica : cpu = 0.172743 (sec), leaf count = 81


\[\left \{\left \{y(x)\to -\sqrt {3 x^2-2 e^{\frac {c_1}{2}} x}+2 x-e^{\frac {c_1}{2}}\right \},\left \{y(x)\to \sqrt {3 x^2-2 e^{\frac {c_1}{2}} x}+2 x-e^{\frac {c_1}{2}}\right \}\right \}\] Maple : cpu = 0.09 (sec), leaf count = 115


\[y \relax (x ) = 0\]