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
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Chapter2: Second-order Linear Odes
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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
Transcribed Image Text: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
Transcribed Image Text: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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