Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A= 12 27 -1 Choose the correct answer below. OA. X(t)= O c. X(t)= -3e9 -3 e 3t -9e3t ,3t -9e 9t OB. X(t)= OD. X(t)= Next question e ⁹t 3t -3e9t -9e3t e3t ,9t - 3 est -9e⁹t

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
5
tab
Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A.
s lock
A =
ntrol
12 27
Choose the correct answer below.
OA. X(t)=
O c. X(t)=
esc
-3e⁹t -9e3t
9t
e3t
-3 e ³t -9e9t
e 3t e9t
!
1
Q
A
N
@
2
3
W
S
X
1
option command
#
3
m
E
D
$
4
C
R
F
%
сток
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MacBook Pro
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6
G
Y
OB. X(t)=
B
OD. X(t)=
4)
&
7
H
Next question
, 9t
- 3 e9t -9e3t
U
e3t 9t
- 3 e 3t -9e9t
# 00
8
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J
9
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Transcribed Image Text:tab Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. s lock A = ntrol 12 27 Choose the correct answer below. OA. X(t)= O c. X(t)= esc -3e⁹t -9e3t 9t e3t -3 e ³t -9e9t e 3t e9t ! 1 Q A N @ 2 3 W S X 1 option command # 3 m E D $ 4 C R F % сток T V MacBook Pro J 6 G Y OB. X(t)= B OD. X(t)= 4) & 7 H Next question , 9t - 3 e9t -9e3t U e3t 9t - 3 e 3t -9e9t # 00 8 3t N J 9 M
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