f (t)= 4 0.5t 2.4t 5. -3t*e5+ +3.8t²e24* 3t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
ANSWER 5 AND 6
![Do NOT solve Number 1 because this was not discussed
in class and is minor compared to the others.
For nos.2-7, do NOT integrate anymore. Just use the
Laplace Formulas directly. If needed, apply the
trigonometric identities first [ For example, cos(A+B) =
cosAcosB - sinAsinB ] before using the Laplace formulas.
For no.3, v2t means (V2) t
Find L{f (t)} of the following functions. Note: a, b, e, k and n are constants.
(t+1 ,0<t<1
1. f(1) =-
le',t21
2. f(1) =t cos 81 +2
3. f(t) =1t+b +acosh 2t +bsinh /21
4. ()-2 cos" (21)-*
e
5. f(t)=-3t*e0s4 +3.8t²e²4+
6. f(t)=-e" sin (21 + 7)
7. f(t)= 3e" cosh (In 21) in two ways.
4 0.5t
2.4t
-2t
%3D
Note: Please DISREGARD the phrase "in
two ways" in item #7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9cd6236-3b0c-406d-9333-f7695dc22eb1%2F43f2c48d-a690-4af4-821c-a2106790abf2%2Fomw5bbyj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Do NOT solve Number 1 because this was not discussed
in class and is minor compared to the others.
For nos.2-7, do NOT integrate anymore. Just use the
Laplace Formulas directly. If needed, apply the
trigonometric identities first [ For example, cos(A+B) =
cosAcosB - sinAsinB ] before using the Laplace formulas.
For no.3, v2t means (V2) t
Find L{f (t)} of the following functions. Note: a, b, e, k and n are constants.
(t+1 ,0<t<1
1. f(1) =-
le',t21
2. f(1) =t cos 81 +2
3. f(t) =1t+b +acosh 2t +bsinh /21
4. ()-2 cos" (21)-*
e
5. f(t)=-3t*e0s4 +3.8t²e²4+
6. f(t)=-e" sin (21 + 7)
7. f(t)= 3e" cosh (In 21) in two ways.
4 0.5t
2.4t
-2t
%3D
Note: Please DISREGARD the phrase "in
two ways" in item #7.
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