Solve the following differential equation: `x\ sqrt(1-y^2)dx+y\ sqrt(1-x^2)\ dy=0`

Explanation

To solve the differential equation \( x \sqrt{1-y^2} \, dx + y \sqrt{1-x^2} \, dy = 0 \), we will follow these steps:

### Step 1: Rearranging the equation
We start by rearranging the equation to separate the variables:
\[ x \sqrt{1-y^2} \, dx = -y \sqrt{1-x^2} \, dy \]

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