2.903   ODE No. 903

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

\[ y'(x)=\frac {\sin \left (\frac {y(x)}{x}\right ) \csc \left (\frac {y(x)}{2 x}\right ) \sec \left (\frac {y(x)}{2 x}\right ) \left (2 x^2 \sin \left (\frac {y(x)}{2 x}\right ) \cos \left (\frac {y(x)}{2 x}\right )+y(x)\right )}{2 x} \] Mathematica : cpu = 0.139949 (sec), leaf count = 19

\[\left \{\left \{y(x)\to 2 x \cot ^{-1}\left (e^{-x-c_1}\right )\right \}\right \}\] Maple : cpu = 0.168 (sec), leaf count = 48

\[\left \{y \left (x \right ) = x \arctan \left (\frac {2 c_{1} {\mathrm e}^{x}}{c_{1}^{2} {\mathrm e}^{2 x}+1}, \frac {-c_{1}^{2} {\mathrm e}^{2 x}+1}{c_{1}^{2} {\mathrm e}^{2 x}+1}\right )\right \}\]