2.357   ODE No. 357

\[ x \log (x) y'(x) \sin (y(x))+\cos (y(x)) (1-x \cos (y(x)))=0 \] Mathematica : cpu = 0.524471 (sec), leaf count = 35


\[\left \{\left \{y(x)\to -\sec ^{-1}\left (\frac {x-c_1}{\log (x)}\right )\right \},\left \{y(x)\to \sec ^{-1}\left (\frac {x-c_1}{\log (x)}\right )\right \}\right \}\] Maple : cpu = 0.696 (sec), leaf count = 13


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