Solve the differential equation (2 + x) dy = (1 + y) dx

Explanation

To solve the differential equation \((2 + x) dy = (1 + y) dx\), we will follow these steps:

### Step 1: Rearranging the Equation
We start with the given equation:
\[ (2 + x) dy = (1 + y) dx \]
We can rearrange this to separate the variables \(y\) and \(x\):
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