The differential equations , find the particular solution satisfying the given condition: (x + y) dy + (x - y) dx = 0; y = 1 when x = 1

Explanation

To solve the differential equation \((x + y) dy + (x - y) dx = 0\) with the condition \(y = 1\) when \(x = 1\), we will follow these steps:

### Step 1: Rewrite the Differential Equation
We start with the given equation:
\[ (x + y) dy + (x - y) dx = 0 \]
We can rearrange it to isolate \(dy\) and \(dx\):
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