2.627   ODE No. 627

\[ y'(x)=\frac {(y(x) \log (x)-1)^2}{x} \] Mathematica : cpu = 0.827632 (sec), leaf count = 25


\[\left \{\left \{y(x)\to \frac {\tan (\log (x)+c_1)}{1+\log (x) \tan (\log (x)+c_1)}\right \}\right \}\] Maple : cpu = 0.236 (sec), leaf count = 35


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