Solve the following differential equations: `(x^2+3x y+y^2)dx-x^2dy=0`

Explanation

To solve the differential equation \((x^2 + 3xy + y^2)dx - x^2dy = 0\), we can follow these steps:

### Step 1: Rearranging the Equation
We start by rearranging the given differential equation:
\[ (x^2 + 3xy + y^2)dx = x^2dy \]
Dividing both sides by \(x^2\) gives:
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