2.673   ODE No. 673

\[ y'(x)=\frac {\frac {1}{2} x^2 \cos (2 y(x))+\frac {x^2}{2}-\frac {1}{2} \sin (2 y(x))}{x} \] Mathematica : cpu = 0.304625 (sec), leaf count = 23


\[\left \{\left \{y(x)\to \tan ^{-1}\left (\frac {2 x^3+3 c_1}{6 x}\right )\right \}\right \}\] Maple : cpu = 0.56 (sec), leaf count = 17


\[y \relax (x ) = \arctan \left (\frac {x^{3}+6 c_{1}}{3 x}\right )\]