Let A = ° -2 [23] eAt = e2t T eAt = e³t eAt = e³t e³¹ = cos(3t) [- sin(3t) cos(2t) sin(2t) [ e37 . Then, e-2t e³t sin(2t) -cos(2t) 30]. sin(3t) cos(3t). 22]. sin(2t) cos(2t) cos(2t) 20]. 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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[- sin(3t) cos(3r) /:
3
Let A =
-2
Then,
%3D
3
cos(3t)
sin(3t)
eAt = e2t
– sin(3t) cos(3t)
cos(2t) - sin(2t)
eAt = e3t
sin(2t)
cos(2t)
sin(2t)
cos(2t)
eAt = e3t
- cos(2t) sin(2t)
e Ai
e3t
Transcribed Image Text:[- sin(3t) cos(3r) /: 3 Let A = -2 Then, %3D 3 cos(3t) sin(3t) eAt = e2t – sin(3t) cos(3t) cos(2t) - sin(2t) eAt = e3t sin(2t) cos(2t) sin(2t) cos(2t) eAt = e3t - cos(2t) sin(2t) e Ai e3t
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