Find xi(t) and x2(t) of the system described by X₁ 0 where the initial 1 -2 conditions are x₁ (0)] x₂ (0) 1 ]-[4] = X₁ X₂
Find xi(t) and x2(t) of the system described by X₁ 0 where the initial 1 -2 conditions are x₁ (0)] x₂ (0) 1 ]-[4] = X₁ X₂
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Note: kindly give me both right solutions with clear calculations
![3-4 Find xi(t) and x2(t) of the system described by
1
[]-[
-22][*
3
X₂
where the initial conditions are
3-5 The system state equation is defined as x = Ax
1
If x(0) =
[8]-[44]
x₁ (0)
x₂ (0)
3
[1]
2
If x(0) =
then x(t) =
3
-B]
Obtain the matrices (t) and A.
2e²2¹ +e
2e¹
then x(t)=
3e-t
e¹+te+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b04b45d-84b9-49ac-a02d-9929f027f391%2Fb695f6a9-d4c6-4b53-8670-86600596abca%2F8qu5he_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3-4 Find xi(t) and x2(t) of the system described by
1
[]-[
-22][*
3
X₂
where the initial conditions are
3-5 The system state equation is defined as x = Ax
1
If x(0) =
[8]-[44]
x₁ (0)
x₂ (0)
3
[1]
2
If x(0) =
then x(t) =
3
-B]
Obtain the matrices (t) and A.
2e²2¹ +e
2e¹
then x(t)=
3e-t
e¹+te+
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