3.673   ODE No. 673

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{-\sin \left(2y\left(x\right)\right)+\cos \left(2y\left(x\right)\right)x^2+x^2}{x}=0}}$$

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

Mathematica: cpu = 0.084011 (sec), leaf count = 23 $$\left\{\{y(x)\to {\tan }^{-1}\left(\frac{3c_1+2x^3}{6x}\right)\}\right\}$$

Maple: cpu = 0.359 (sec), leaf count = 17 $$\{y\left(x\right)=\arctan \left(\frac{x^3+6\mathit{\_}\mathit{C}\mathit{1}}{3x}\right)\}$$