Differential Equations

Let y = y(x) be the solution of the differential equation \(\cos e{c^2}xdy + 2dx = (1 + y\cos 2x)\cos e{c^2}xdx\), with \(y\left( {{\pi \over 4}} \right) = 0\). Then, the value of \({(y(0) + 1)^2}\) is equal to :