of the following is the generol solution3 #4%$456.7(819 1TY UmokA SD FG HKdefollowing is the generel solutionspoce equotions!Whichof the aboveinhom ogen ews stotaSelf vectorsV12VIIV21%3DV22V22choose to begeneroliz edeigen vectorVz is the a)x1(t) = C, e¬t + C2 (t + 1) e¬t + 4x2(t) = C, e¬t + C2 t e¬t + 3b)x1(t) = C1 e¬t + C2 (t – 1) e¬t + 2x2(t) = C, e¬t + C2t e¬t + 1c)x1(t) = C e-t + C2 (t – 1) e¬t – 2x2(t) = -C e-tC2 te-t + 7%3Dd)x1(t) = C, e¬t + C2 t e¬t + 7x2(t) = 2 C, e¬t + C2 (2 t – 1) e¬t + 10%3De)x1 (t) = C e¬t + C2 (t + 1) e-t + 8x2(t) = -C e-tC2 te-t - 3%3Df)x1(t) = C, e¬t + C2t e¬t - 1%3Dx2(t) = 2 C, e¬t + C2 (2 t + 1) e¬t - 6%3D

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Answered: of the following is the generol…

of the following is the generol solution de Which of the obove inhom ogen ews stota spoce equotions Self vectors Vil V21 V12 Vz2 choose to be Vz is the generoliz ed eigen vector

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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Question

of the following is the generol solution
3 #
4%$4
5
6.
7(
81
9 1
T
Y U
mok
A SD F
G H
K
de
following is the generel solution
spoce equotions!
Which
of the above
inhom ogen ews stota
Self vectors
V12
VII
V21
%3D
V22
V22
choose to be
generoliz ed
eigen vector
Vz is the

a)
x1(t) = C, e¬t + C2 (t + 1) e¬t + 4
x2(t) = C, e¬t + C2 t e¬t + 3
b)
x1(t) = C1 e¬t + C2 (t – 1) e¬t + 2
x2(t) = C, e¬t + C2t e¬t + 1
c)
x1(t) = C e-t + C2 (t – 1) e¬t – 2
x2(t) = -C e-t
C2 te-t + 7
%3D
d)
x1(t) = C, e¬t + C2 t e¬t + 7
x2(t) = 2 C, e¬t + C2 (2 t – 1) e¬t + 10
%3D
e)
x1 (t) = C e¬t + C2 (t + 1) e-t + 8
x2(t) = -C e-t
C2 te-t - 3
%3D
f)
x1(t) = C, e¬t + C2t e¬t - 1
%3D
x2(t) = 2 C, e¬t + C2 (2 t + 1) e¬t - 6
%3D

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