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

Explanation

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

### Step 1: Rewrite the equation
We can rewrite the given differential equation in a more manageable form:
\[ (x y^2 + 2x)dx + (x^2y + 2y)dy = 0 \]
This can be rearranged as:
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