2.422   ODE No. 422

\[ x y'(x)^2-2 y(x) y'(x)+4 x=0 \] Mathematica : cpu = 0.0796024 (sec), leaf count = 81


\[\left \{\left \{y(x)\to -\frac {2 \left (x+x \tanh ^2\left (\frac {1}{2} (-\log (x)+c_1)\right )\right )}{-1+\tanh ^2\left (\frac {1}{2} (-\log (x)+c_1)\right )}\right \},\left \{y(x)\to -\frac {2 \left (x+x \tanh ^2\left (\frac {1}{2} (\log (x)+c_1)\right )\right )}{-1+\tanh ^2\left (\frac {1}{2} (\log (x)+c_1)\right )}\right \}\right \}\] Maple : cpu = 0.042 (sec), leaf count = 30


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