If a curve \( y = y(x) \) passes through the point \( \left(1,\frac{\pi}{2}\right) \) and satisfies the differential equation \( \left(7x^4 \cot y - e^x cosec y\right)\frac{dy}{dx} = x^5, x \ge 1 \), then at \( x = 2 \), the value of \( \cos y \) is:
