2.804   ODE No. 804

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

$$y^{\prime }(x)=\frac{\frac{1}{2}{x}^4\cos (2y(x))+\frac{x^4}{2}-\frac{1}{2}x\sin (2y(x))-\frac{1}{2}\sin (2y(x))}{x(x+1)}$$ ✓ Mathematica : cpu = 0.49815 (sec), leaf count = 43

$$\left\{\{y(x)\to {\tan }^{-1}\left(\frac{-12c_1+3x^4-4x^3+6x^2-12x+12\log (x+1)-25}{12x}\right)\}\right\}$$

✓ Maple : cpu = 1.288 (sec), leaf count = 38

$$\{y\left(x\right)=\arctan \left(\frac{3x^4-4x^3+6x^2+12\ln (1+x)-12\mathit{\_}\mathit{C}\mathit{1}-12x}{12x}\right)\}$$