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 = 0.109961 (sec), leaf count = 19

\[\left \{\left \{y(x)\to 2 x \cot ^{-1}\left (e^{-x-c_1}\right )\right \}\right \}\] Maple : cpu = 0.21 (sec), leaf count = 48

\[ \left \{ y \left ( x \right ) =\arctan \left ( 2\,{\frac {{{\rm e}^{x}}{\it \_C1}}{ \left ( {{\rm e}^{x}} \right ) ^{2}{{\it \_C1}}^{2}+1}},{\frac {- \left ( {{\rm e}^{x}} \right ) ^{2}{{\it \_C1}}^{2}+1}{ \left ( {{\rm e}^{x}} \right ) ^{2}{{\it \_C1}}^{2}+1}} \right ) x \right \} \]