ÿ' 7 = [-³ ÿ. 3 2] -5 -3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = v₁ = ● Find the real-valued solution to the initial value problem = [yi ly/₂ Use t as the independent variable in your answers. yı(t) = Y2 (t) = 3y1 + 2y2, -5y1 - 3y2, , and X2 y₁ (0) = 11, y2 (0) = -15. , V₂ =
ÿ' 7 = [-³ ÿ. 3 2] -5 -3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = v₁ = ● Find the real-valued solution to the initial value problem = [yi ly/₂ Use t as the independent variable in your answers. yı(t) = Y2 (t) = 3y1 + 2y2, -5y1 - 3y2, , and X2 y₁ (0) = 11, y2 (0) = -15. , V₂ =
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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Transcribed Image Text:3
ý
-5
-3
a. Find the eigenvalues and eigenvectors for the coefficient matrix.
A₁
71
Find the real-valued solution to the initial value problem
=
Syí
โy
=
Use t as the independent variable in your
answers.
31(t)=
32(t) =
||
->
=
TƏ
=
ID
J
21
3y1 + 2y2,
- 5y₁ - 3y2,
y.
and X2
9
y₁ (0) = 11,
y2 (0) = -15.
-
→
15
=
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