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 got this question during an online interview.

I would like to ask this question from Method of Separation of Variables topic in division Applications of Partial Differential Equations of Engineering Mathematics

Answer 1

The correct choice is (a) False

To explain: 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.