If r+ 2r - 1 = 0 is the characteristic equation of a homogeneous D.E. with constant coefficients, then we can write the geueral solution as y(x) = (A) C + C2t (B) cje(-1-v2jz+ czel-1+vD)z (C) Ci+ C2 In z (D) Ce + C2re (E) Cie-+ C2xe-

If r+ 2r - 1 = 0 is the characteristic equation of a homogeneous D.E. with constant coefficients, then we can write the geueral solution as y(x) = (A) C + C2t (B) cje(-1-v2jz+ czel-1+vD)z (C) Ci+ C2 In z (D) Ce + C2re (E) Cie-+ C2xe-

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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If r+ 2r - 1 = 0 is the characteristic equation
of a homogeneous D.E. with constant coefficients,
then we can write the geueral solution as y(z) =
(A) C+Ct
(B) cjel-1-v2jz+ gel-1+vz
(C) Ci+ C2 Inz
(D) cie + C2re
(E) Cie-+ C2re-

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