3.122   ODE No. 122

\[ \boxed { x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( \sin \left ( y \left ( x \right ) \right ) -3\,{x}^{2}\cos \left ( y \left ( x \right ) \right ) \right ) \cos \left ( y \left ( x \right ) \right ) =0} \]

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

Mathematica: cpu = 0.071509 (sec), leaf count = 21 \[ \left \{\left \{y(x)\to \tan ^{-1}\left (\frac {c_1+2 x^3}{2 x}\right )\right \}\right \} \]

Maple: cpu = 0.297 (sec), leaf count = 16 \[ \left \{ y \left ( x \right ) =\arctan \left ( {\frac {{x}^{3}+2\,{\it \_C1}}{x}} \right ) \right \} \]