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 = 0.254555 (sec), leaf count = 15

\[\left \{\left \{y(x)\to x \csc ^{-1}(2 (\log (x)+c_1))\right \}\right \}\] Maple : cpu = 0.044 (sec), leaf count = 17

\[\left \{y \left (x \right ) = x \arcsin \left (\frac {1}{2 c_{1}+2 \ln \left (x \right )}\right )\right \}\]