Solve the differential equation `(y+3x^2)(dx)/(dy)=x` .

Explanation

To solve the differential equation \((y + 3x^2) \frac{dx}{dy} = x\), we will follow these steps:

### Step 1: Rearrange the Equation
First, we can rearrange the equation to isolate \(\frac{dy}{dx}\):
\[ y + 3x^2 = x \frac{dy}{dx} \]
This can be rewritten as:
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