Solve the following initial value problem: `x y(dy)/(dx)=y+2,\ y(2)=0`

Explanation

To solve the initial value problem \( x y \frac{dy}{dx} = y + 2 \) with the initial condition \( y(2) = 0 \), we will follow these steps:

### Step 1: Rewrite the equation
We start with the given differential equation:
\[ x y \frac{dy}{dx} = y + 2 \]
We can rearrange this to separate the variables:
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