Problem 11. (9.2/22-26) For each of the linear systems in A through E, find the matching phase portrait (to the right). Briefly justify your choices by examining the eigenvalues. A. X(+1)=[-2.5 0.5]x(1) B. X(+1)=[-2.5 0.5x() wi dt dx dt -[3 ]x 10 11 VII 11 of IV VI VIII 21 F

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 11. (9.2/22-26) For each of the linear systems in A through E, find the matching phase portrait (to the
right). Briefly justify your choices by examining the eigenvalues.
A. X(+1)=[-2.5 0.5]x(1)
B.
X(+1)=[-2.5 0.5]x(1)
C.
3
c. dx-[-2.5 0.5]*
dx
D. [15]*
E.
dx
# - [3 ]x
dt
2
1
III o
A
2
1-
VII O
IF
1-2
4 -
110
-1
IV of
VI OF
-t
VIII O
-IE
I
3
Transcribed Image Text:Problem 11. (9.2/22-26) For each of the linear systems in A through E, find the matching phase portrait (to the right). Briefly justify your choices by examining the eigenvalues. A. X(+1)=[-2.5 0.5]x(1) B. X(+1)=[-2.5 0.5]x(1) C. 3 c. dx-[-2.5 0.5]* dx D. [15]* E. dx # - [3 ]x dt 2 1 III o A 2 1- VII O IF 1-2 4 - 110 -1 IV of VI OF -t VIII O -IE I 3
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