Find a particular solution of the differential equation`(x - y) (dx + dy) = dx dy`, given that `y = 1`, when `x = 0`. (Hint: put `x -y = t`).

Explanation

To find a particular solution of the differential equation \((x - y)(dx + dy) = dx - dy\) given that \(y = -1\) when \(x = 0\), we can follow these steps:

### Step 1: Substitute \(t = x - y\)
Let \(t = x - y\). Then, differentiating both sides with respect to \(x\), we have:
\[ dt = dx - dy \]

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