The solution curve of the differential equation, \(\left(1+{\mathrm{e}}^{-\mathrm{x}}\right)\left(1+{\mathrm{y}}^{2}\rig…

\({\text{y}}^{2}+1=\text{y}\left({\log }_{\text{e}}\left(\frac{1+{\text{e}}^{−\text{x}}}{2}\right)+2\right)\)

\({\mathrm{y}}^{2}+1=\mathrm{y}\left({\log }_{\mathrm{e}}\left(\frac{1+{\mathrm{e}}^{\mathrm{x}}}{2}\right)+2\right)\)

\({\mathrm{y}}^{2}=1+{\mathrm{ylog}}_{\mathrm{e}}\left(\frac{1+{\mathrm{e}}^{-\mathrm{x}}}{2}\right)\)

\({\mathrm{y}}^{2}=1+{\mathrm{ylog}}_{\mathrm{e}}\left(\frac{1+{\mathrm{e}}^{\mathrm{x}}}{2}\right)\)