A system x'=Ax has the solutions cos (sin(t)) and (sin(t)). - cos Which of the following is also a solution? O a) O O c) -2 sin (t) (225) 2 cos (t) b) ( O d) sin (t) + cos (t) 4 sin (t)- 2 cos (t), $(t)) 2 sin (t) + 3 cos (t) -sin (t) cos (t)) 2 sin (t) + cos (t) 4 sin (t)- 3 cos (t)

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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A system x'=Ax has the solutions
cos (t)
(c() a and
sin (t)
-cos (t)
sin (t)
Which of the following is also a solution?
O a)
O
O b)
O c)
O d)
-2 sin (t)
2 cos (t)
sin (t) + cos (t)
4 sin (t)- 2 cos
(4
(t))
(t)
2 sin (t) + 3 cos (t)
-sin (t)
os (t))
2 sin (t) + cos (t)
4 sin (t)- 3 cos (t)
Transcribed Image Text:A system x'=Ax has the solutions cos (t) (c() a and sin (t) -cos (t) sin (t) Which of the following is also a solution? O a) O O b) O c) O d) -2 sin (t) 2 cos (t) sin (t) + cos (t) 4 sin (t)- 2 cos (4 (t)) (t) 2 sin (t) + 3 cos (t) -sin (t) os (t)) 2 sin (t) + cos (t) 4 sin (t)- 3 cos (t)
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