2.483   ODE No. 483

\[ \left (2 x y(x)-x^2\right ) y'(x)^2+2 x y(x) y'(x)-y(x)^2+2 x y(x)=0 \] Mathematica : cpu = 0.203436 (sec), leaf count = 71


\[\left \{\left \{y(x)\to e^{\frac {c_1}{2}}-\sqrt {-x^2+2 e^{\frac {c_1}{2}} x}\right \},\left \{y(x)\to \sqrt {-x^2+2 e^{\frac {c_1}{2}} x}+e^{\frac {c_1}{2}}\right \}\right \}\] Maple : cpu = 0.077 (sec), leaf count = 103


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