Find the general solution of the differential equation `x(dy)/(dx)+2y=x^2(x!=0)`.

Explanation

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

### Step 1: Rewrite the Equation
We start with the given equation:
\[ x \frac{dy}{dx} + 2y = x^2 \]
To simplify, we can divide the entire equation by \( x \) (since \( x \neq 0 \)):
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