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

Explanation

To form the differential equation representing the family of ellipses with foci on the x-axis and center at the origin, we start with the standard equation of an ellipse. Here’s a step-by-step solution:

### Step 1: Write the equation of the ellipse
The standard form of the equation of an ellipse 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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