Question

In the formation of differential equation by elimination of arbitrary constants, after differentiating the equation with respect to independent variable, the arbitrary constant gets eliminated.

(a) False

(b) True

I had been asked this question in an online quiz.

This intriguing question originated from Formation of Ordinary Differential Equations by Elimination of Arbitrary Constants in chapter Ordinary Differential Equations – First Order & First Degree of Engineering Mathematics

Answer 1

Right answer is (a) False

The best explanation: In the formation of differential equation by elimination of arbitrary constants, the first step is to differentiate the equation with respect to the dependent variable. Sometimes, the arbitrary constant gets eliminated after differentiation.