Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.

Explanation

To form the differential equation of the family of hyperbolas with foci on the x-axis and the center at the origin, we can follow these steps:

### Step 1: Write the equation of the hyperbola
The standard form of the equation of a hyperbola with foci on the x-axis and center at the origin is given by:

\[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \]
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