Find the solution of the 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 can rearrange the equation to isolate \( dy \) and \( dx \):
\[ y \sqrt{1+x^2} \, dy = -x \sqrt{1+y^2} \, dx \]
This gives us a separable form.
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