Form the differential equation representing the family of curves given by `(x-a)^2+2y^2=a^2`, where a is an arbitrary constant.

Explanation

To form the differential equation representing the family of curves given by the equation \((x-a)^2 + 2y^2 = a^2\), where \(a\) is an arbitrary constant, we will follow these steps:

### Step 1: Differentiate the given equation with respect to \(x\)

We start with the equation:
\[ (x-a)^2 + 2y^2 = a^2 \]
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