Find L{f (1)}qf the following functions. Note: a, b, e, k and n are constants. (1+1 ,0<1<1 1. S(1)=} le', 121 2. f(t) =t cos81 +2 3. f(t)=1t+b +acosh 2t +bsinh 2t 4. f(1)=-cos (21)+e 5. f(t)=-3t*e0.5t +3.8t²e24*

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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Need answers for numbers 2,3,5,6
Find L{f (t)}of the following functions. Note: a, b, e, k and t are constants.
[t+1,0<t<1
1. f(1) =-
le',t 21
2. f(t) =t cos 81 +2
%3D
3. f(1)=1+b+acosh 2t + bsinh 2t
S()="cos" (21) +e
4.
e
5. f(t)=-3t e05t +3.82²e²"
6. f(t)=-e" sin (2r + 7)
7. f(t)=3e cosh (In 21) in two ways.
2.4t
-2t
Transcribed Image Text:Find L{f (t)}of the following functions. Note: a, b, e, k and t are constants. [t+1,0<t<1 1. f(1) =- le',t 21 2. f(t) =t cos 81 +2 %3D 3. f(1)=1+b+acosh 2t + bsinh 2t S()="cos" (21) +e 4. e 5. f(t)=-3t e05t +3.82²e²" 6. f(t)=-e" sin (2r + 7) 7. f(t)=3e cosh (In 21) in two ways. 2.4t -2t
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