2.836   ODE No. 836

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

$$y^{\prime }(x)=\frac{(x-y(x))y(x)(y(x)+1)}{x(xy(x)-y(x)+x)}$$ ✓ Mathematica : cpu = 9.56437 (sec), leaf count = 379

$$\text{Solve}[\frac{1}{9}{2}^{2/3}(\frac{(1-\frac{(x-1{)}^2{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}((x+2)y(x)+x)}{x^4((x-1)y(x)+x)})(\frac{{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}(x-1{)}^2((x+2)y(x)+x)}{x^4((x-1)y(x)+x)}+2)((1-\frac{(x-1{)}^2{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}((x+2)y(x)+x)}{x^4((x-1)y(x)+x)})\log \left(2^{2/3}(1-\frac{(x-1{)}^2{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}((x+2)y(x)+x)}{x^4((x-1)y(x)+x)})\right)+(\frac{(x-1{)}^2{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}((x+2)y(x)+x)}{x^4((x-1)y(x)+x)}-1)\log \left(2^{2/3}(\frac{{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}(x-1{)}^2((x+2)y(x)+x)}{x^4((x-1)y(x)+x)}+2)\right)-3)}{\frac{3(x-1{)}^2{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}((x+2)y(x)+x)}{x^4((x-1)y(x)+x)}-\frac{((x+2)y(x)+x{)}^3}{((x-1)y(x)+x{)}^3}-2}+\frac{{\left(\frac{x^6}{(x-1{)}^3}\right)}^{2/3}(x-1{)}^2}{x^3})=c_1,y(x)]$$ ✓ Maple : cpu = 1.131 (sec), leaf count = 73

$$\{y\left(x\right)=-x{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln (\frac{{\mathrm{e}}^{\mathit{\_}\mathit{Z}}}{2}+\frac{9}{2}){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+3{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+9)}{(-9+(x-1){\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln (\frac{{\mathrm{e}}^{\mathit{\_}\mathit{Z}}}{2}+\frac{9}{2}){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+3{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+9)})}^{-1}\}$$