Form the differential equation of the family of curves represented by y2 = (x – c)3.


y2 = (x – c)3

On differentiating the above equation with respect to x we get





Putting the value of (x – c) in the given equation, we get,




On squaring, both sides we get,





Hence, is the differential equation which represents the family of curves y2 = (x – c)3.


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