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Form the differential equation represen...

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

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To form the differential equation representing the family of curves given by \((x-a)^2 + 2y^2 = a^2\), where \(a\) is an arbitrary constant, we will follow these steps: ### Step 1: Differentiate the given equation with respect to \(x\). Given the equation: \[ (x-a)^2 + 2y^2 = a^2 \] ...
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