Consider the following linear system of differential equations. = Y{ 196y2 1/₂2 4y1 Which of the following is the general solution to this system? -28x 98x -98x (C) -28x e ©₂[1]²+ e[ 1 ] ² e28x {^»>«[i]«²³ + e[ ³ ]«² «®»«[i]*³*+«₂[1]e™ e28x (B) (A) C₁ 1 98x -98x e -28.x e (F) ®₂[i]*+s[i]* ®₂[i]**+s[i]c* ®₂[i]+a[i]* (E) (D) 1 98x -98x -28x e 28x + c₂ e (H) c1 c₁[1] [1] (G) 1 [1] 0₂ [11]₁-98x + c₂

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 following linear system of differential equations.
=
Y{ 196y2
1/₂2 4y1
Which of the following is the general solution to this system?
-28x
98x
-98x
(C)
-28x
e
©₂[1]²+ e[ 1 ] ²
e28x
{^»>«[i]«²³ + e[ ³ ]«² «®»«[i]*³*+«₂[1]e™
e28x
(B)
(A) C₁
1
98x
-98x
e
-28.x
e
(F)
®₂[i]*+s[i]* ®₂[i]**+s[i]c* ®₂[i]+a[i]*
(E)
(D) 1
98x
-98x
-28x
e
28x
+ c₂
e (H) c1
c₁[1]
[1]
(G) 1
[1]
0₂ [11]₁-98x
+ c₂
Transcribed Image Text:Consider the following linear system of differential equations. = Y{ 196y2 1/₂2 4y1 Which of the following is the general solution to this system? -28x 98x -98x (C) -28x e ©₂[1]²+ e[ 1 ] ² e28x {^»>«[i]«²³ + e[ ³ ]«² «®»«[i]*³*+«₂[1]e™ e28x (B) (A) C₁ 1 98x -98x e -28.x e (F) ®₂[i]*+s[i]* ®₂[i]**+s[i]c* ®₂[i]+a[i]* (E) (D) 1 98x -98x -28x e 28x + c₂ e (H) c1 c₁[1] [1] (G) 1 [1] 0₂ [11]₁-98x + c₂
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