Solve the differential equation
`x dy-y dx=sqrt(x^(2)+y^(2)) dx`.

Explanation

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

### Step 1: Rearranging the Equation
We start by rewriting the given equation:
\[ x \, dy - y \, dx = \sqrt{x^2 + y^2} \, dx \]
This can be rearranged to isolate \( dy \):
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