Show that the differential equation `(xsqrt(x^(2)+y^(2)-y^(2)))dx+xydy=0` is homogenous and solve it.

Explanation

To solve the given differential equation \( (x\sqrt{x^{2}+y^{2}-y^{2}})dx+xydy=0 \) and show that it is homogeneous, we will follow these steps:

### Step 1: Simplify the Differential Equation
The given equation can be simplified as follows:
\[ (x\sqrt{x^{2}})dx + (xy)dy = 0 \]
This simplifies to:
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