Find the solution of the differential equation `cos ydy+cosxsinydx=0` given that `y=pi//2` , when `x=pi//2.`

Explanation

To solve the differential equation \( \cos y \, dy + \cos x \sin y \, dx = 0 \) given the initial condition \( y = \frac{\pi}{2} \) when \( x = \frac{\pi}{2} \), we can follow these steps:

### Step 1: Rearranging the Equation
We start with the given differential equation:
\[ \cos y \, dy + \cos x \sin y \, dx = 0 \]
We can rearrange this to separate the variables:
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