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

Explanation

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

### Step 1: Rewrite the Equation
Start with the given equation:
\[ x \frac{dy}{dx} = x + y \]
We can rearrange it to isolate \(\frac{dy}{dx}\):
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