Given that ₁ A₁ = 6 = H -A help (numbers) and 72 = are eigenvectors of the matrix A₂ = 2 help (numbers) Find the solution to the linear system of differential equations x' = 6x y = - 4x + 2y satisfying the initial conditions (0) = 2 and y(0) = -1. x(t) = help (formulas) y(t) = help (formulas) 6 -4 0 2]. determine the corresponding eigenvalues.
Given that ₁ A₁ = 6 = H -A help (numbers) and 72 = are eigenvectors of the matrix A₂ = 2 help (numbers) Find the solution to the linear system of differential equations x' = 6x y = - 4x + 2y satisfying the initial conditions (0) = 2 and y(0) = -1. x(t) = help (formulas) y(t) = help (formulas) 6 -4 0 2]. determine the corresponding eigenvalues.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Given that ₁
X₁
=
X2
-
6
x(t)
2
y(t) =
=
=
[¹] and
H
help (numbers)
Find the solution to the linear system of differential equations
x' = 6x
y = - 4x + 2y
and v₂ =
v2
->
←I
satisfying the initial conditions (0) = 2 and y(0) = -1.
help (formulas)
help (formulas)
0
- [9]
help (numbers)
→
are eigenvectors of the matrix
→
6
[14 ๆ
-4 2
9
determine the corresponding eigenvalues.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb154af4-0384-48be-b4dd-887afc51ba51%2F87e701f1-402f-4bce-9a06-0daf1aa3345b%2Fxgsu7ve_processed.png&w=3840&q=75)
Transcribed Image Text:Given that ₁
X₁
=
X2
-
6
x(t)
2
y(t) =
=
=
[¹] and
H
help (numbers)
Find the solution to the linear system of differential equations
x' = 6x
y = - 4x + 2y
and v₂ =
v2
->
←I
satisfying the initial conditions (0) = 2 and y(0) = -1.
help (formulas)
help (formulas)
0
- [9]
help (numbers)
→
are eigenvectors of the matrix
→
6
[14 ๆ
-4 2
9
determine the corresponding eigenvalues.
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