1 1 2 d the solution to the linear system of differential equations [1] = sfying the initial conditions t) = t) = and 7₂ = (0) x₂ (0)_ = [] 3 help (formulas) help (formulas) 3 = 13 12] [ 1[+] -8 7 help (matrices)
1 1 2 d the solution to the linear system of differential equations [1] = sfying the initial conditions t) = t) = and 7₂ = (0) x₂ (0)_ = [] 3 help (formulas) help (formulas) 3 = 13 12] [ 1[+] -8 7 help (matrices)
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
![The matrix
v₁
=
1
x₁ (t) =
-13 12]
-8 7
x₂ (t) =
has eigenvalues A₁ = -1 and ₂ = -5. Find eigenvectors corresponding to these eigenvalues.
satisfying the initial conditions
1
2
Find the solution to the linear system of differential equations
and 7₂
x₁ (0)]
_x₂ (0)
=
[3]
help (formulas)
help (formulas)
=
x
3
x
=
- 13
-8
12
7
X1
X
help (matrices)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb154af4-0384-48be-b4dd-887afc51ba51%2F09718902-6218-4603-9aa5-b2b77e07df1e%2Fcv23c16_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix
v₁
=
1
x₁ (t) =
-13 12]
-8 7
x₂ (t) =
has eigenvalues A₁ = -1 and ₂ = -5. Find eigenvectors corresponding to these eigenvalues.
satisfying the initial conditions
1
2
Find the solution to the linear system of differential equations
and 7₂
x₁ (0)]
_x₂ (0)
=
[3]
help (formulas)
help (formulas)
=
x
3
x
=
- 13
-8
12
7
X1
X
help (matrices)
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