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# Form the differential equation of the family of concentric circles x2+y2=a2, where a>0 and a is a parameter.

Now, in the general equation of of the family of concentric circles x2+y2=a2, where a>0, ‘a’ represents the radius of the circle and is an arbitrary constant.

The given equation represents a family of concentric circles centered at the origin.

x2+y2=a2

Differentiating the above equation with respect to x on both sides, we have,

(As a>0, derivative of a with respect to x is 0.)

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