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

Explanation

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

### Step 1: Rearranging the Equation
We start with the given equation:
\[ x \frac{dy}{dx} + y = y^2 \]
Rearranging gives:
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