Find the differential equation of the family of curves represented by

| Find the differential equation of the family of curves represented by  where k is an arbitrary constant.

A.

B.

C.

D.

Right Answer is: C

SOLUTION

The given equation ………..(1)

Differentiating w.r.t. x, we get

……………..(2)

Dividing (2) by (1), we get

Substituting this value of k in (2), we get

.

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