Solve: `(dy)/(dx)=-(x+ycosx)/(1+sinx)`

Explanation

To solve the differential equation \(\frac{dy}{dx} = -\frac{x + y \cos x}{1 + \sin x}\), we will follow these steps:

### Step 1: Rewrite the equation
We start by rewriting the given equation in a more manageable form:
\[ \frac{dy}{dx} + \frac{y \cos x}{1 + \sin x} = -\frac{x}{1 + \sin x} \]
This is now in the standard form of a linear differential equation:
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