Question 2: Find the general solution of x' = 32 vectors are given below: Three eigenvalues are λ = 1 and 1 ± 2i and A₁ = 1, v(¹) = 0 1 0 2 1 -2 1 2 -3 : 2 A₂ = 1+2i, v(²) x if the eigenvalues and eigen- ()

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2:
Find the general solution of x'
=
vectors are given below: Three eigenvalues are λ
>
2
--()
=
2
A₁ = 1, v(¹)
1
0
2 1
32
= 1 and 1 ± 2i and
-3 ; λ₂ = 1+2i, v (²)
0
-2
1
=
x if the eigenvalues and eigen-
0
()
1
Transcribed Image Text:Question 2: Find the general solution of x' = vectors are given below: Three eigenvalues are λ > 2 --() = 2 A₁ = 1, v(¹) 1 0 2 1 32 = 1 and 1 ± 2i and -3 ; λ₂ = 1+2i, v (²) 0 -2 1 = x if the eigenvalues and eigen- 0 () 1
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