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 = 0.402693 (sec), leaf count = 33

\[\text {Solve}\left [\frac {y(x)}{2 x}+\frac {1}{4} \sin \left (\frac {2 y(x)}{x}\right )=-\log (x)+c_1,y(x)\right ]\] Maple : cpu = 0.081 (sec), leaf count = 35

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