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

This question was addressed to me in an interview.

This interesting question is from Solution of Second Order P.D.E. in division Partial Differential Equations of Engineering Mathematics

Answer 1

Correct choice is (a) False

Easiest 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.