Solve the differential equation `"dy=cos x(2-y cosec x)dx"` given that `y=2, "when x" d=(pi)/(2)`

Explanation

To solve the differential equation \( dy = \cos x (2 - y \csc x) dx \) with the initial condition \( y = 2 \) when \( x = \frac{\pi}{2} \), we will follow these steps:

### Step 1: Rewrite the Differential Equation
We start with the given differential equation:
\[ dy = \cos x (2 - y \csc x) dx \]
Rearranging gives:
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