Question 6 The solution of the system x' = O d. 2-2 22 O a. * Xx=c₁e²t[(1) cos(t)-(2)sin(t)] + c₂e²¹ [ (1) cos(t) + (2) sin(t)] e-²t[( 1 ) cos(2t) - ( 1 )sin(2t)] +c₂e-2 [(cos(2t) + (sin(2t)] O b. 1 X=C₁e c. none of the above e. x is X=C₁e ² [(i) cos(2t) - (2)]sin(2t)] + c₂e²t[(cos(2t) + (sin(2t)] Le-2 [( 1 ) cos(t) - ( 1 ) sin(t)] + c₂2e-2 [( 1 ) cos(t) + (2) sin(t)] 2t X=C₁e
Question 6 The solution of the system x' = O d. 2-2 22 O a. * Xx=c₁e²t[(1) cos(t)-(2)sin(t)] + c₂e²¹ [ (1) cos(t) + (2) sin(t)] e-²t[( 1 ) cos(2t) - ( 1 )sin(2t)] +c₂e-2 [(cos(2t) + (sin(2t)] O b. 1 X=C₁e c. none of the above e. x is X=C₁e ² [(i) cos(2t) - (2)]sin(2t)] + c₂e²t[(cos(2t) + (sin(2t)] Le-2 [( 1 ) cos(t) - ( 1 ) sin(t)] + c₂2e-2 [( 1 ) cos(t) + (2) sin(t)] 2t X=C₁e
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 6
The solution of the system x'
=
O d.
2-2
22
O a.
* Xx=c₁e²t[(1) cos(t)-(2)sin(t)] + c₂e²¹ [ (1) cos(t) + (2) sin(t)]
e-²t[( 1 ) cos(2t) - ( 1 )sin(2t)] +c₂e-2 [(cos(2t) + (sin(2t)]
O b.
1
X=C₁e
c. none of the above
e.
x is
X=C₁e
² [(i) cos(2t) - (2)]sin(2t)] + c₂e²t[(cos(2t) + (sin(2t)]
Le-2 [( 1 ) cos(t) - ( 1 ) sin(t)] + c₂2e-2 [( 1 ) cos(t) + (2) sin(t)]
2t
X=C₁e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff31d497b-3620-469b-803c-c1a53df0f79e%2F7d2ae072-fa82-4563-8e06-9cd1edd6a9ba%2Ftyniqh_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6
The solution of the system x'
=
O d.
2-2
22
O a.
* Xx=c₁e²t[(1) cos(t)-(2)sin(t)] + c₂e²¹ [ (1) cos(t) + (2) sin(t)]
e-²t[( 1 ) cos(2t) - ( 1 )sin(2t)] +c₂e-2 [(cos(2t) + (sin(2t)]
O b.
1
X=C₁e
c. none of the above
e.
x is
X=C₁e
² [(i) cos(2t) - (2)]sin(2t)] + c₂e²t[(cos(2t) + (sin(2t)]
Le-2 [( 1 ) cos(t) - ( 1 ) sin(t)] + c₂2e-2 [( 1 ) cos(t) + (2) sin(t)]
2t
X=C₁e
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