Write the differential equation obtained by eliminating the arbitrary constant C in the equation `x^2-y^2=C^2dot`

Explanation

To eliminate the arbitrary constant \( C \) in the equation \( x^2 - y^2 = C^2 \) and write the corresponding differential equation, we can follow these steps:

### Step 1: Differentiate the given equation
We start with the equation:
\[ x^2 - y^2 = C^2 \]
Now, we differentiate both sides with respect to \( x \):
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