2.357   ODE No. 357

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ x \log (x) y'(x) \sin (y(x))+\cos (y(x)) (1-x \cos (y(x)))=0 \] Mathematica : cpu = 0.504764 (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 = 0.499 (sec), leaf count = 13

\[ \left \{ y \left ( x \right ) =\arccos \left ( {\frac {\ln \left ( x \right ) }{x+{\it \_C1}}} \right ) \right \} \]