Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix: 423 A= 4 -4 and find the solution that satisfies the initial condition: a) Ox(t)=- b) Ox(t)= c) Ox(t)= d) Ox(t)= e) Ox(t)= - 10 14 9 7 14 -St e - est e -St 7 -St e 9 2 4 -2 3 -2 1 -4 f) O None of the above. + -10 7 + e 9 10 9 9 4: -4t -4t e 1 -4 2 3 -4 3 -4 2 x(0) = -3 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix:
3 2
A=
4 -4
and find the solution that satisfies the initial condition:
10
a) Ox(t)=- e
b) Ox(t)=
c) Ox(t)=
e) Ox(t)=
14
9
-
7
d) Ox(t)= e
14 -St
- est
7
9
-St
-St
e
2
4
-2
3
-2
[²]+
1
-4
f) O None of the above.
+
-10 4:
7
+ e
9
10
9
9
-4t
-42
e
1
-4
2
3
-4
3
-4
2
x(0) =
-3
2
K
Transcribed Image Text:Find a fundemental set of solution vectors of the system x' = Ax where A is the given matrix: 3 2 A= 4 -4 and find the solution that satisfies the initial condition: 10 a) Ox(t)=- e b) Ox(t)= c) Ox(t)= e) Ox(t)= 14 9 - 7 d) Ox(t)= e 14 -St - est 7 9 -St -St e 2 4 -2 3 -2 [²]+ 1 -4 f) O None of the above. + -10 4: 7 + e 9 10 9 9 -4t -42 e 1 -4 2 3 -4 3 -4 2 x(0) = -3 2 K
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