Let \(y = y(x)\) be the solution of the differential equation \({\mathrm{e}}^{\mathrm{x}}\sqrt{1-{\mathrm{y}}^{2}}\mathr…

Let \(y = y(x)\) be the solution of the differential equation \({\mathrm{e}}^{\mathrm{x}}\sqrt{1-{\mathrm{y}}^{2}}\mathrm{dx}+\left(\frac{\mathrm{y}}{\mathrm{x}}\right)\mathrm{dy}=0,\mathrm{y}(1)=-1\). Then the value of\((\mathrm{y}(3){)}^{2}\) is equal to:

[JEE Main 2021, 20 Jul (Shift 1)]