Consider the system of first-order linear DEs: ¯x (t)` -7x(t) d dt O O O 0 [200] = Get [7] + ₂€ + [22₂] ¯ x (t)` T[J]- =C₁e-7t [*] [*] -7t = C₁ e = = C₁ et Which one of the following is the general solution of the system? D -2t + c₂e -2t + c₂e [A] A where C₁, C₂ ER , where C₁, C₂ €R · [¯¹] + º + c₂e²t [] 0 where C₁, C₂ € R
Consider the system of first-order linear DEs: ¯x (t)` -7x(t) d dt O O O 0 [200] = Get [7] + ₂€ + [22₂] ¯ x (t)` T[J]- =C₁e-7t [*] [*] -7t = C₁ e = = C₁ et Which one of the following is the general solution of the system? D -2t + c₂e -2t + c₂e [A] A where C₁, C₂ ER , where C₁, C₂ €R · [¯¹] + º + c₂e²t [] 0 where C₁, C₂ € R
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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Question
![Consider the system of first-order linear DEs:
¯x(t)
–7x(t)
dt y(t)
– 2y(t)
O
O
¯x(t)
y(t)
¯x(t)
[*]
=
=
Clet
[7]
HOR]
+ c₂e-
= C₁e-7t
-7t
= C₁ e
Which one of the following is the general solution of the system?
[1]
-2t
[] []
+ c₂e
+ c₂e
0
-2t
A
• [z(t)) = €₁6²" ["'] + ₂0² [1]
[¹]
elt
0
, where C₁, C₂ ER
where C₁, C₂ € R
where C₁, C₂ R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd8b0420-8290-4549-9f9a-309353e8d3f5%2Ffd83ce62-7169-4973-86c9-73c2db744c5a%2F0s09u84_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the system of first-order linear DEs:
¯x(t)
–7x(t)
dt y(t)
– 2y(t)
O
O
¯x(t)
y(t)
¯x(t)
[*]
=
=
Clet
[7]
HOR]
+ c₂e-
= C₁e-7t
-7t
= C₁ e
Which one of the following is the general solution of the system?
[1]
-2t
[] []
+ c₂e
+ c₂e
0
-2t
A
• [z(t)) = €₁6²" ["'] + ₂0² [1]
[¹]
elt
0
, where C₁, C₂ ER
where C₁, C₂ € R
where C₁, C₂ R
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