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 internship interview.

My enquiry is from Homogeneous Linear PDE with Constant Coefficient in division Partial Differential Equations of Engineering Mathematics

Answer 1

The correct choice is (a) False

To explain I would say: 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.