Transform: F (s) = 4s-16 s²-6s+13

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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Transform:
F (s) =
4s-16
s²-6s+13
= 4e
○ f(t) = 4e¯³t cos2t – 2e¯
f(t) = 4e³t cos2t
f(t) = 4e³t cos2t
f(t) =
-3t cos2t
f(t) = 4e¯ -3t cos2t – 4e-³t sin2t
f(t) = 4e¯³t sin2t – 4e¯³t cos2t
○ f(t) = 4e³t sin2t – 2e³t cos2t
○ f(t) = 4e³t sin2t – 4e³t cos2t
‚-3t sin2t
-3t
4e³t sin2t
2e³t sin2t
sin2t – 2e
Transcribed Image Text:Transform: F (s) = 4s-16 s²-6s+13 = 4e ○ f(t) = 4e¯³t cos2t – 2e¯ f(t) = 4e³t cos2t f(t) = 4e³t cos2t f(t) = -3t cos2t f(t) = 4e¯ -3t cos2t – 4e-³t sin2t f(t) = 4e¯³t sin2t – 4e¯³t cos2t ○ f(t) = 4e³t sin2t – 2e³t cos2t ○ f(t) = 4e³t sin2t – 4e³t cos2t ‚-3t sin2t -3t 4e³t sin2t 2e³t sin2t sin2t – 2e
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