Solve the following differential equation: `(1-x^2)dy+x y\ dx\ =x y^2 dx`

Explanation

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

### Step 1: Rearranging the Equation
We start by rearranging the given equation:
\[ (1 - x^2) dy = xy^2 \, dx - xy \, dx \]
This simplifies to:
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