2. f(t)=t cos 8t +2 3. f(t)=1** +a cosh /2t +bsinh 2t 4. -cos' (21)+e f(1) = %3D e 5. f(t)=-3t'e St + 3.8t²e24* 6. f(t)=-e" sin ( 2r + ) 4 0.5t %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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Pls answer no. 2,3,5 and 6 please write legibly thank you
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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