2.779   ODE No. 779

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

$$y^{\prime }(x)=\frac{x^{3}y(x)+x^3+xy(x{)}^2+y(x{)}^3}{(x-1)x^3}$$ ✓ Mathematica : cpu = 0.138307 (sec), leaf count = 57

$$\text{Solve}[-\frac{1}{4}\log (\frac{y(x{)}^2}{x^2}+1)+\frac{1}{2}\log (\frac{y(x)}{x}+1)+\frac{1}{2}{\tan }^{-1}\left(\frac{y(x)}{x}\right)=\log (1-x)-\log (x)+c_1,y(x)]$$ ✓ Maple : cpu = 0.255 (sec), leaf count = 50

$$\{-\frac{1}{4}\ln \left(\frac{{\left(y\left(x\right)\right)}^2+x^2}{x^2}\right)+\frac{1}{2}\arctan \left(\frac{y\left(x\right)}{x}\right)+\frac{1}{2}\ln \left(\frac{y\left(x\right)+x}{x}\right)-\ln (x-1)+\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$