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

Answered: Image /qna-images/answer/34bf271c-fed0-48e7-aea1-c512b40b104c.jpg

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 53E

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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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