Let the eigenvalues and eigenvectors of matrix A4x4 be 21 = -5, v1 = d2 = 6, v2 = d34 = -3 + 2i, v3,4 = ti What is the general solution of the differential equation d = Ax? x(1) = cje-St + cze6" + c3e¬3 + C4e-31 -sin(21) cos(2t) cos(21) sin(2t) x(1) = cje-St + c2e6 + c3e¬3t -sin(21) cos(21) cos(2t) sin(21), x(t) = cje-St cztew + c3e sin(31) cos(3t) cos(3t), sin(3t). Answer is not listed x(t) = cịe¬5t + cze + cze-3 + c4e¬3+ sin(21) cos(2t) cos(2t) sin(2t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let the eigenvalues and eigenvectors of matrix A4x4 be
21 = -5, v1 =
d2 = 6, v2 =
d34 = -3 + 2i, v3,4 =
ti
What is the general solution of the differential equation d = Ax?
x(1) = cje-St
+ cze6"
+ c3e¬3
+ C4e-31
-sin(21)
cos(2t)
cos(21)
sin(2t)
x(1) = cje-St
+ c2e6
+ c3e¬3t
-sin(21)
cos(21)
cos(2t)
sin(21),
x(t) = cje-St
cztew
+ c3e
sin(31)
cos(3t)
cos(3t),
sin(3t).
Answer is not listed
x(t) = cịe¬5t
+ cze
+ cze-3
+ c4e¬3+
sin(21)
cos(2t)
cos(2t)
sin(2t)
Transcribed Image Text:Let the eigenvalues and eigenvectors of matrix A4x4 be 21 = -5, v1 = d2 = 6, v2 = d34 = -3 + 2i, v3,4 = ti What is the general solution of the differential equation d = Ax? x(1) = cje-St + cze6" + c3e¬3 + C4e-31 -sin(21) cos(2t) cos(21) sin(2t) x(1) = cje-St + c2e6 + c3e¬3t -sin(21) cos(21) cos(2t) sin(21), x(t) = cje-St cztew + c3e sin(31) cos(3t) cos(3t), sin(3t). Answer is not listed x(t) = cịe¬5t + cze + cze-3 + c4e¬3+ sin(21) cos(2t) cos(2t) sin(2t)
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