2.441   ODE No. 441

\[ x^2 y'(x)^2-4 x (y(x)+2) y'(x)+4 y(x) (y(x)+2)=0 \] Mathematica : cpu = 0.0917761 (sec), leaf count = 65


\[\left \{\left \{y(x)\to -e^{-c_1} x \left (-x+2 \sqrt {2} e^{\frac {c_1}{2}}\right )\right \},\left \{y(x)\to e^{\frac {c_1}{2}} x \left (-2 \sqrt {2}+e^{\frac {c_1}{2}} x\right )\right \}\right \}\] Maple : cpu = 1.404 (sec), leaf count = 137


\[y \relax (x ) = -2\]