3.804   ODE No. 804

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{-\sin \left(2y\left(x\right)\right)x-\sin \left(2y\left(x\right)\right)+\cos \left(2y\left(x\right)\right)x^4+x^4}{x(1+x)}=0}}$$

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

Mathematica: cpu = 0.493063 (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 = 0.827 (sec), leaf count = 38 $$\{y\left(x\right)=\arctan \left(\frac{3x^4-4x^3+6x^2+12\ln (1+x)-12\mathit{\_}\mathit{C}\mathit{1}-12x}{12x}\right)\}$$