Show that the differential equation `(y sin^(2)((x)/(y))-x)dy+ydx = 0` is homogeneous differential equation. Also find its general solution.

Explanation

To show that the differential equation \( (y \sin^2(\frac{x}{y}) - x) dy + y dx = 0 \) is a homogeneous differential equation and to find its general solution, we can follow these steps:

### Step 1: Rewrite the Differential Equation
The given differential equation is:
\[ (y \sin^2(\frac{x}{y}) - x) dy + y dx = 0 \]
We can rearrange this to isolate \( dx \):
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