Find the general solution of the differential equation `(dy)/(dx)=(x+1)/(2-y),(y!=2)`

Explanation

To solve the differential equation \(\frac{dy}{dx} = \frac{x+1}{2-y}\) where \(y \neq 2\), we will follow these steps:

### Step 1: Cross-Multiply
We start by cross-multiplying to separate the variables:
\[ (2 - y) \, dy = (x + 1) \, dx \]

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