Let \(y = y(x)\) be the solution of the differential equation \(\left(xy-5{x}^{2}\sqrt{1+{x}^{2}}\right)dx+\left(1+{x}^{…

Let \(y = y(x)\) be the solution of the differential equation \(\left(xy-5{x}^{2}\sqrt{1+{x}^{2}}\right)dx+\left(1+{x}^{2}\right)dy=0\),\(y(0) = 0.\) Then \(y(\sqrt{3})\) is equal to

[JEE Main 2025, 24 Jan (Shift 1)]