Using the tables write down the transforms of the following functions/ (i) t² – 3t + 4 (ii) 2 cost +3sin 2t

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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f(t)
1 or u(t)
F(s) = L[f(t)]
1
Т-1
1
Т-2
s+a
sin øt
Т-3
s? +w?
cos ot
Т-4
s? + o?
e at sin ot
T-5*
(s+a) + o?
e at cos ot
T-6*
s+a
(s+a)² + @²
t
1
Т-7
t"
n!
T-8
-atn
n!
T-9
(s+a)*1
8(t)
1
Т-10
*Use when roots are complex.
Transcribed Image Text:f(t) 1 or u(t) F(s) = L[f(t)] 1 Т-1 1 Т-2 s+a sin øt Т-3 s? +w? cos ot Т-4 s? + o? e at sin ot T-5* (s+a) + o? e at cos ot T-6* s+a (s+a)² + @² t 1 Т-7 t" n! T-8 -atn n! T-9 (s+a)*1 8(t) 1 Т-10 *Use when roots are complex.
Using the tables write down the transforms of the following
functions/
(i) t² – 3t + 4
(ii) 2 cost +3 sin 2t
Transcribed Image Text:Using the tables write down the transforms of the following functions/ (i) t² – 3t + 4 (ii) 2 cost +3 sin 2t
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