Question

A homogeneous linear differential equation has constant coefficients if it has the form

(a) }=0,\) where a1,…,an  are (real or complex) numbers.

(b) False

(c) True

This question was addressed to me in quiz.

My question is based upon Homogeneous Linear PDE with Constant Coefficient in chapter Partial Differential Equations of Engineering Mathematics

Answer 1

Correct option is (b) False

For explanation I would say: \(a_0 y+a_1 y’+a_2 y”+⋯+a_n y^{(n)}=0,\) is the form which represents a homogeneous linear differential equation which has constant coefficients. In other words, it has constant coefficients if it is defined by a linear operator with constant coefficients.