25 Considering a system of differential equations: dx dt dy dt || O x = x + 3y Which of the following is a general solution to the system Select one alternative: [] [] = C₁e-t + [1] +0₂€²¹] c₂e³t H-²²+ = C1e³t = Ciet + c₂et [1] [] [] + c₂e²t + c₂e³t Q D
25 Considering a system of differential equations: dx dt dy dt || O x = x + 3y Which of the following is a general solution to the system Select one alternative: [] [] = C₁e-t + [1] +0₂€²¹] c₂e³t H-²²+ = C1e³t = Ciet + c₂et [1] [] [] + c₂e²t + c₂e³t Q D
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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![25
Considering a system of differential equations:
dx
dt
dy
dt
X
= x + 3y
Which of the following is a general solution to the system
Select one alternative:
• [+] = ₁₁²¹ [i] + x²]
•[] = €²¹]
C₁e³t
H
+ 0₂¹]
c₂et
[•] = a[1²] + ₂² [1]
Ciet
X
•[] = ₁² [1²] +₂6² [1]
Ciet
c₂e³t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff64c4370-50a6-4b0a-be8f-9aa36b172cbb%2F891a87eb-620b-4290-95a3-c494c0032cfc%2Fwguuhhg_processed.png&w=3840&q=75)
Transcribed Image Text:25
Considering a system of differential equations:
dx
dt
dy
dt
X
= x + 3y
Which of the following is a general solution to the system
Select one alternative:
• [+] = ₁₁²¹ [i] + x²]
•[] = €²¹]
C₁e³t
H
+ 0₂¹]
c₂et
[•] = a[1²] + ₂² [1]
Ciet
X
•[] = ₁² [1²] +₂6² [1]
Ciet
c₂e³t
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