6. f(t)=-e" sin (2r + 7) -2t 7. f(1)= 3e " cosh (In 21) %3D

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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Answer numbers 6-7 only. Do not integrate
Find L{f (t)} of the following functions. Note: a, b, e, k and r are constants.
а,
(t+1 ,0<t <1
1. f(t) =<
e',t21
2. f(t) =t cos 8t +2
3. f(t) *b +a cosh 2t + bsinh 21
a+b
= t
2
4. f(1)=-cos" (2r) +e
%3D
e
5. f(t) =- 3t'e0s4 + 3.8t²e²44
6. f(1)=-e" sin (21 + 7)
7. f(t) = 3e" cosh (In 21) in two ways.
0.5t
3t
-2t
Transcribed Image Text:Find L{f (t)} of the following functions. Note: a, b, e, k and r are constants. а, (t+1 ,0<t <1 1. f(t) =< e',t21 2. f(t) =t cos 8t +2 3. f(t) *b +a cosh 2t + bsinh 21 a+b = t 2 4. f(1)=-cos" (2r) +e %3D e 5. f(t) =- 3t'e0s4 + 3.8t²e²44 6. f(1)=-e" sin (21 + 7) 7. f(t) = 3e" cosh (In 21) in two ways. 0.5t 3t -2t
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