2.1668   ODE No. 1668

\[ x y''(x)+(y(x)-1) y'(x)=0 \] Mathematica : cpu = 0.0552813 (sec), leaf count = 60


\[\left \{\left \{y(x)\to 2+\sqrt {2} \sqrt {2+c_1} \tanh \left (\frac {1}{2} \left (\sqrt {2} \sqrt {2+c_1} \log (x)-2 \sqrt {2} \sqrt {2+c_1} c_2\right )\right )\right \}\right \}\] Maple : cpu = 0.934 (sec), leaf count = 24


\[y \relax (x ) = \frac {2 c_{1}+\tanh \left (\frac {\ln \relax (x )-c_{2}}{2 c_{1}}\right )}{c_{1}}\]