2.673   ODE No. 673

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

$$y^{\prime }(x)=\frac{\frac{1}{2}{x}^2\cos (2y(x))+\frac{x^2}{2}-\frac{1}{2}\sin (2y(x))}{x}$$ ✓ Mathematica : cpu = 0.293364 (sec), leaf count = 23

$$\left\{\{y(x)\to {\tan }^{-1}\left(\frac{2x^3+3c_1}{6x}\right)\}\right\}$$ ✓ Maple : cpu = 0.45 (sec), leaf count = 17

$$\{y\left(x\right)=\arctan \left(\frac{x^3+6\mathit{\_}\mathit{C}\mathit{1}}{3x}\right)\}$$