2.959   ODE No. 959

\[ y'(x)=\frac {\csc \left (\frac {y(x)}{2 x}\right ) \sec \left (\frac {y(x)}{2 x}\right ) \sec \left (\frac {y(x)}{x}\right ) \left (x^3 \sin \left (\frac {y(x)}{2 x}\right ) \sin \left (\frac {y(x)}{x}\right ) \cos \left (\frac {y(x)}{2 x}\right )-\frac {1}{2} y(x) \sin \left (\frac {y(x)}{x}\right )+\frac {1}{2} y(x) \sin \left (\frac {y(x)}{2 x}\right ) \cos \left (\frac {y(x)}{2 x}\right )+\frac {1}{2} y(x) \sin \left (\frac {3 y(x)}{2 x}\right ) \cos \left (\frac {y(x)}{2 x}\right )\right )}{x} \] Mathematica : cpu = 0.227861 (sec), leaf count = 20


\[\left \{\left \{y(x)\to x \sin ^{-1}\left (e^{\frac {x^2}{2}+c_1}\right )\right \}\right \}\] Maple : cpu = 0.091 (sec), leaf count = 15


\[y \relax (x ) = \arcsin \left ({\mathrm e}^{\frac {x^{2}}{2}} c_{1}\right ) x\]