Solve the following differential equation: `(x+2)(dy)/(dx)=x^2+3x+7`

Explanation

To solve the differential equation \((x+2)\frac{dy}{dx} = x^2 + 3x + 7\), we can follow these steps:

### Step 1: Rewrite the equation
We start by isolating \(\frac{dy}{dx}\):
\[ \frac{dy}{dx} = \frac{x^2 + 3x + 7}{x + 2} \]

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