3.779   ODE No. 779

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{x^{3}y\left(x\right)+x^3+x{\left(y\left(x\right)\right)}^2+{\left(y\left(x\right)\right)}^3}{(x-1)x^3}=0}}$$

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

Mathematica: cpu = 0.028504 (sec), leaf count = 57 $$\text{Solve}[-\frac{1}{4}\log (\frac{y(x{)}^2}{x^2}+1)+\frac{1}{2}\log (\frac{y(x)}{x}+1)+\frac{1}{2}{\tan }^{-1}\left(\frac{y(x)}{x}\right)=c_1+\log (1-x)-\log (x),y(x)]$$

Maple: cpu = 0.078 (sec), leaf count = 50 $$\{\frac{1}{2}\ln \left(\frac{y\left(x\right)+x}{x}\right)-\frac{1}{4}\ln \left(\frac{{\left(y\left(x\right)\right)}^2+x^2}{x^2}\right)+\frac{1}{2}\arctan \left(\frac{y\left(x\right)}{x}\right)+\ln \left(x\right)-\ln (x-1)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$