Q5 of 26 Page 1

Find the differential equation representing the family of curves where A and B are arbitrary constants.

We have,


Since, the given equation contains two arbitrary constants, we will differentiate it two times to eliminate the constants.


Now, Differentiating both sides of equation w.r.t r, we get




Differentiating again both sides of equation w.r.t r, we get



Hence, this is the required differential equation of the given family of curves.


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