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F(s) = = 5s²-s-2 (s+2)(s²+1) f(t) = 4e²t + 3cost – sint f(t) = 4e²t – 3cost + sint -2t f(t) = 4e¯ +3cost - sint f(t) = 4e²t + cost – 3sint f(t) = 4e¯ f(t) = 4e-2t f(t) = 4e¯ f(t) = 4e²t -2t -2t + cost - 3sint — cost + 3sint 3cost + sint cost + 3sint

F(s) = = 5s²-s-2 (s+2)(s²+1) f(t) = 4e²t + 3cost – sint f(t) = 4e²t – 3cost + sint -2t f(t) = 4e¯ +3cost - sint f(t) = 4e²t + cost – 3sint f(t) = 4e¯ f(t) = 4e-2t f(t) = 4e¯ f(t) = 4e²t -2t -2t + cost - 3sint — cost + 3sint 3cost + sint cost + 3sint

Advanced Engineering Mathematics
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) : = 5s²-s-2 (s+2)(s²+1) ○ f(t) = 4e²t + 3cost - sint Of(t) = 4e²t 3cost + sint f(t) = 4e¯²t + 3cost — sint f(t) = 4e²t + cost f(t) = 4e-²t Of(t) = 4e-2t f(t) = 4e¯ f(t) = 4e²t — cost + 3sint - 2t + cost 3sint - 3sint cost + 3sint − 3cost + sint
Transcribed Image Text:Transform: F(s) : = 5s²-s-2 (s+2)(s²+1) ○ f(t) = 4e²t + 3cost - sint Of(t) = 4e²t 3cost + sint f(t) = 4e¯²t + 3cost — sint f(t) = 4e²t + cost f(t) = 4e-²t Of(t) = 4e-2t f(t) = 4e¯ f(t) = 4e²t — cost + 3sint - 2t + cost 3sint - 3sint cost + 3sint − 3cost + sint
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