Find a fundamental matrix of the following system, and then apply x(t) = d(t)Þ(0) 'X, to find a solution satisfying the initial conditions. 5 4 - 2 x, x(0) = 4 5 X' = ..... Find a fundamental matrix for the given system. Select the correct answer below. O A. - 5t в. 5 e - 4 e 5t e 9t O(t) = Þ(t) = - 5t 4 e - 5e 4" 9t - e -t - e 9t 5+ 9t e' 1-9et D(t) = e D(t) = 9t - e 4 +te 9r 9t 9- e Find a solution satisfying the given initial condition. x(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a fundamental matrix of the following system, and then apply x(t) = d(t)Þ(0)¯'x, to find a solution satisfying the initial conditions.
5 4
- 2
|x, х(0)%3D
4 5
X' =
3
.....
Find a fundamental matrix for the given system. Select the correct answer below.
O A.
- 5t
-4e 5t
5e
9t
e
O(t) =
(t) =
- 5t
4 e
-5e 4t
et
9t
e
- t
- e
9t
5+ 9t e' 1-9e 9t
e
P(t) =
(t) =
9t
- e
9t
4 +te
9- e
9t
e
Find a solution satisfying the given initial condition.
x(t) =
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t) = d(t)Þ(0)¯'x, to find a solution satisfying the initial conditions. 5 4 - 2 |x, х(0)%3D 4 5 X' = 3 ..... Find a fundamental matrix for the given system. Select the correct answer below. O A. - 5t -4e 5t 5e 9t e O(t) = (t) = - 5t 4 e -5e 4t et 9t e - t - e 9t 5+ 9t e' 1-9e 9t e P(t) = (t) = 9t - e 9t 4 +te 9- e 9t e Find a solution satisfying the given initial condition. x(t) =
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