Find the general solution of the equation `x - y (dx)/(dy) = y + x (dx)/(dy)`.

Explanation

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

### Step 1: Rearranging the Equation
We start with the given equation:
\[ x - y \frac{dx}{dy} = y + x \frac{dx}{dy} \]
We can rearrange this by moving all terms involving \(\frac{dx}{dy}\) to one side:
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