A particular solution of the differential equation

\(3y^2 \frac{dy}{dx} = 4(y^3 + 1) \cos^2 x\)

is such that \(y = 2\) when \(x = 0\). The diagram shows a sketch of the graph of this solution for \(0 \leq x \leq 2\pi\); the graph has stationary points at \(A\) and \(B\). Find the \(y\)-coordinates of \(A\) and \(B\), giving each coordinate correct to 1 decimal place.