Solve the differential equation `(1 + x^(2))dy+2xydx = sin^(2) x dx`

Explanation

To solve the differential equation \((1 + x^2)dy + 2xy dx = \sin^2 x \, dx\), we will follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ (1 + x^2)dy + 2xy dx = \sin^2 x \, dx \]
We can rearrange this to isolate \(dy\):
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