2.791   ODE No. 791

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

$$y^{\prime }(x)=\frac{\text{sech}\left(\frac{1}{x-1}\right)(x^5+x^4-2x^{3}y(x)-2x^{2}y(x)+2x^2\cosh \left(\frac{1}{x-1}\right)+xy(x{)}^2+y(x{)}^2-x-2x\cosh \left(\frac{1}{x-1}\right)-1)}{x-1}$$ ✗ Mathematica : cpu = 300.004 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 18.086 (sec), leaf count = 634

$$\{y\left(x\right)=1(x^2{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}{\mathrm{e}}^{2{(x-1)}^{-1}}}\right)}^4{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}}\right)}^4{\left({\mathrm{e}}^{\frac{1}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}\int {(\frac{{\mathrm{e}}^{{(x-1)}^{-1}}x}{1+x}+\frac{x}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)}-\frac{{\mathrm{e}}^{{(x-1)}^{-1}}}{1+x}-\frac{1}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)})}^{-1}\mathrm{d}x{\mathrm{e}}^{2{(x-1)}^{-1}}}\right)}^{-4}{\left({\mathrm{e}}^{\frac{1}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}\int {(\frac{{\mathrm{e}}^{{(x-1)}^{-1}}x}{1+x}+\frac{x}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)}-\frac{{\mathrm{e}}^{{(x-1)}^{-1}}}{1+x}-\frac{1}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)})}^{-1}\mathrm{d}x}\right)}^{-4}-x^2+1{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}{\mathrm{e}}^{2{(x-1)}^{-1}}}\right)}^4{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}}\right)}^4{\left({\mathrm{e}}^{\frac{1}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}\int {(\frac{{\mathrm{e}}^{{(x-1)}^{-1}}x}{1+x}+\frac{x}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)}-\frac{{\mathrm{e}}^{{(x-1)}^{-1}}}{1+x}-\frac{1}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)})}^{-1}\mathrm{d}x{\mathrm{e}}^{2{(x-1)}^{-1}}}\right)}^{-4}{\left({\mathrm{e}}^{\frac{1}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}\int {(\frac{{\mathrm{e}}^{{(x-1)}^{-1}}x}{1+x}+\frac{x}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)}-\frac{{\mathrm{e}}^{{(x-1)}^{-1}}}{1+x}-\frac{1}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)})}^{-1}\mathrm{d}x}\right)}^{-4}+1){(-1+1{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}{\mathrm{e}}^{2{(x-1)}^{-1}}}\right)}^4{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}}\right)}^4{\left({\mathrm{e}}^{\frac{1}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}\int {(\frac{{\mathrm{e}}^{{(x-1)}^{-1}}x}{1+x}+\frac{x}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)}-\frac{{\mathrm{e}}^{{(x-1)}^{-1}}}{1+x}-\frac{1}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)})}^{-1}\mathrm{d}x{\mathrm{e}}^{2{(x-1)}^{-1}}}\right)}^{-4}{\left({\mathrm{e}}^{\frac{1}{{\left({\mathrm{e}}^{{(x-1)}^{-1}}\right)}^2+1}\int {(\frac{{\mathrm{e}}^{{(x-1)}^{-1}}x}{1+x}+\frac{x}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)}-\frac{{\mathrm{e}}^{{(x-1)}^{-1}}}{1+x}-\frac{1}{{\mathrm{e}}^{{(x-1)}^{-1}}(1+x)})}^{-1}\mathrm{d}x}\right)}^{-4})}^{-1}\}$$