The general solution of the differential equation `(ydx-xdy)/(y)=0` is :

Options

A. `xy=C`
B. `x=Cy^(2)`
C. `y=Cx`
D. `y=Cx^(2)`

Explanation

To solve the differential equation \(\frac{y \, dx - x \, dy}{y} = 0\), we can follow these steps:

### Step 1: Simplify the equation
We start with the given equation:
\[ \frac{y \, dx - x \, dy}{y} = 0 \]
Multiplying both sides by \(y\) (assuming \(y \neq 0\)), we get:
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