3.357   ODE No. 357

\[ \boxed { x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) \ln \left ( x \right ) \sin \left ( y \left ( x \right ) \right ) +\cos \left ( y \left ( x \right ) \right ) \left ( 1-x\cos \left ( y \left ( x \right ) \right ) \right ) =0} \]

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

Mathematica: cpu = 0.317540 (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 = 0.406 (sec), leaf count = 13 \[ \left \{ y \left ( x \right ) =\arccos \left ( {\frac {\ln \left ( x \right ) }{x+{\it \_C1}}} \right ) \right \} \]