Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system: dx 1 = 2x y dt K₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² + dy = -X dt X = 4₁₂ (²¹) e² +²₂ (1) e² O A x-₁()+(¹₁)¹ + (¹) O C X = ₁₁ (¹₁) e² + ₁₂[( ¹1₁ ) e² + (9) e²] OB x = a (²¹) e² + a₂ (²¹) e² O D
Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system: dx 1 = 2x y dt K₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² + dy = -X dt X = 4₁₂ (²¹) e² +²₂ (1) e² O A x-₁()+(¹₁)¹ + (¹) O C X = ₁₁ (¹₁) e² + ₁₂[( ¹1₁ ) e² + (9) e²] OB x = a (²¹) e² + a₂ (²¹) e² O D
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
![Given the correct eigenvalues above and the eigenvectors below, what is
the general solution of the system:
dx
1
= 2x y
K₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² +
dt
dy
= -X
dt
X = 4₁₂ (²¹) e² + ²₂ (1) e²
O A
x=₂(₁) +(¹₁)te+ (¹)
et]
O C
X = G₁₂ (¹₁) e¹ + ₁₂ (¹₁) e² + (e¹]
OB
X = G(²¹) e² + a₂ (²¹) ²
C₁
O D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65cc832c-a157-46ed-83e3-51c45d9f4399%2F534be0f1-925b-4681-8b5f-51c85a8ce3cb%2Ftt7m9y5_processed.png&w=3840&q=75)
Transcribed Image Text:Given the correct eigenvalues above and the eigenvectors below, what is
the general solution of the system:
dx
1
= 2x y
K₁ = ( ²¹₁ ) K² = ( 9 ) + + - ² +
dt
dy
= -X
dt
X = 4₁₂ (²¹) e² + ²₂ (1) e²
O A
x=₂(₁) +(¹₁)te+ (¹)
et]
O C
X = G₁₂ (¹₁) e¹ + ₁₂ (¹₁) e² + (e¹]
OB
X = G(²¹) e² + a₂ (²¹) ²
C₁
O D
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