2.363   ODE No. 363

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

\[ \left (x y'(x)-y(x)\right ) \cos ^2\left (\frac {y(x)}{x}\right )+x=0 \] Mathematica : cpu = 0.0364151 (sec), leaf count = 33

\[\text {Solve}\left [\frac {y(x)}{2 x}+\frac {1}{4} \sin \left (\frac {2 y(x)}{x}\right )=c_1-\log (x),y(x)\right ]\]

Maple : cpu = 0.07 (sec), leaf count = 35

\[ \left \{ -{\frac {1}{2\,x} \left ( \cos \left ( {\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) x+y \left ( x \right ) \right ) }-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]