2.983   ODE No. 983

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

$$y^{\prime }(x)=\frac{3x^{2}y(x)-x^3+x^2-3xy(x{)}^2+y(x{)}^3}{(x-1)(x+1)}$$ ✓ Mathematica : cpu = 0.50343 (sec), leaf count = 238

$$\text{Solve}[\frac{1}{3}\log (\frac{\frac{3y(x)}{x^2-1}-\frac{3x}{x^2-1}}{3\sqrt[3]{\frac{1}{(x-1{)}^3(x+1{)}^3}}}+1)-\frac{1}{6}\log (\frac{{(\frac{3y(x)}{x^2-1}-\frac{3x}{x^2-1})}^2}{9{\left(\frac{1}{(x-1{)}^3(x+1{)}^3}\right)}^{2/3}}-\frac{\frac{3y(x)}{x^2-1}-\frac{3x}{x^2-1}}{3\sqrt[3]{\frac{1}{(x-1{)}^3(x+1{)}^3}}}+1)+\frac{{\tan }^{-1}\left(\frac{\frac{2(\frac{3y(x)}{x^2-1}-\frac{3x}{x^2-1})}{3\sqrt[3]{\frac{1}{(x-1{)}^3(x+1{)}^3}}}-1}{\sqrt{3}}\right)}{\sqrt{3}}=\frac{1}{2}{\left(\frac{1}{{(x^2-1)}^3}\right)}^{2/3}{(x^2-1)}^2(\log (1-x)-\log (x+1))+c_1,y(x)]$$ ✓ Maple : cpu = 1.48 (sec), leaf count = 188

$$\{y\left(x\right)=\frac{\sqrt{3}}{2}(\frac{x^2-1}{3}(3\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-9\ln \left(\frac{1+x}{x-1}\right){\left(\frac{1}{{(1+x)}^3{(x-1)}^3}\right)}^{2/3}{x}^4+18\ln \left(\frac{1+x}{x-1}\right){\left(\frac{1}{{(1+x)}^3{(x-1)}^3}\right)}^{2/3}{x}^2-9\ln \left(\frac{1+x}{x-1}\right){\left(\frac{1}{{(1+x)}^3{(x-1)}^3}\right)}^{2/3}-6\sqrt{3}\mathit{\_}\mathit{Z}-3\ln \left(4/3{({(\tan \left(\mathit{\_}\mathit{Z}\right))}^2+1)}^{-1}\right)-2\ln \left(3/8\frac{{(\sqrt{3}+\tan \left(\mathit{\_}\mathit{Z}\right))}^3\sqrt{3}}{{(1+x)}^3{(x-1)}^3}\right)+2\ln \left(\frac{1}{{(1+x)}^3{(x-1)}^3}\right)+18\mathit{\_}\mathit{C}\mathit{1})\right)+\sqrt{3})\sqrt[3]{\frac{1}{{(1+x)}^3{(x-1)}^3}}+\frac{2\sqrt{3}x}{3})\}$$