Solve the following differential equations: `(x+y)^2(dy)/(dx)=1`

Explanation

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

### Step 1: Substitute \(v = x + y\)
Let \(v = x + y\). Then, we can express \(y\) in terms of \(v\) and \(x\):
\[ y = v - x \]

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