2.349   ODE No. 349

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

\[ x y'(x) \cot \left (\frac {y(x)}{x}\right )+2 x \sin \left (\frac {y(x)}{x}\right )-y(x) \cot \left (\frac {y(x)}{x}\right )=0 \] Mathematica : cpu = 0.219525 (sec), leaf count = 15

\[\left \{\left \{y(x)\to x \csc ^{-1}(2 (\log (x)+c_1))\right \}\right \}\] Maple : cpu = 0.029 (sec), leaf count = 17

\[ \left \{ y \left ( x \right ) =\arcsin \left ( \left ( 2\,\ln \left ( x \right ) +2\,{\it \_C1} \right ) ^{-1} \right ) x \right \} \]