Consider the Initial Value Problem: X₁ x2 = x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 71 = = - 3x1 + 3x2 -6x1 + 3x2 (b) Solve the initial value problem. Give your solution in real form. x1 = and X2 x1 (0) x2 (0) = = 2 7 = v₂ = 181
Consider the Initial Value Problem: X₁ x2 = x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 71 = = - 3x1 + 3x2 -6x1 + 3x2 (b) Solve the initial value problem. Give your solution in real form. x1 = and X2 x1 (0) x2 (0) = = 2 7 = v₂ = 181
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
![Consider the Initial Value Problem:
X1
=
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
181
v1
x₁
x^2
=
=
- 3x₁ + 3x₂
9
- 6x1 + 3x₂
"
(b) Solve the initial value problem. Give your solution in real form.
X1 =
x2 =
and A2
x₁ (0)
x₂ (0)
=
"
=
=
V2
=
2
7
[8]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f523637-2688-4999-8995-e2f7c47c64ad%2Fe8b0eff5-5873-4cea-890d-68f87d558b9c%2Fvnti8z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the Initial Value Problem:
X1
=
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
181
v1
x₁
x^2
=
=
- 3x₁ + 3x₂
9
- 6x1 + 3x₂
"
(b) Solve the initial value problem. Give your solution in real form.
X1 =
x2 =
and A2
x₁ (0)
x₂ (0)
=
"
=
=
V2
=
2
7
[8]
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