(t+1 ,0
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 1 only
![For nos.2-7, do NOT integrate anymore. Just
use the Laplace Formulas directly. If needed,
apply the trigonometric identities fırst [ For
example, cos(A+B) = cosAcosB - sinAsinB ]
before using the Laplace formulas.
V2t
(v2) t
For no.3,
means
Find L{f (t)}of the following functions. Note: a, b, e, k and n are constants.
(t+1 ,0<t <1
1. f(t) = {
le', 1 21
2. f(t) =t cos 81 +2
3. f(1) =1t+b +a cosh 21 +bsinh /21
4. S(1) =?cos" (21)+e*
5. f(t)=-3t*e0.5+ +3.8t²e²4+
6. f(t) =-e" sin (21 + 7)
7. f(t)=3e" cosh (In 21) in two ways.
-2t
Note: Please DISREGARD the phrase
"in two ways" in item #7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1e9b24b-7e64-4d57-85dd-0a8a642a928f%2F4bd2326c-3dc0-4979-8036-d0375b1943a5%2F1ct2pu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For nos.2-7, do NOT integrate anymore. Just
use the Laplace Formulas directly. If needed,
apply the trigonometric identities fırst [ For
example, cos(A+B) = cosAcosB - sinAsinB ]
before using the Laplace formulas.
V2t
(v2) t
For no.3,
means
Find L{f (t)}of the following functions. Note: a, b, e, k and n are constants.
(t+1 ,0<t <1
1. f(t) = {
le', 1 21
2. f(t) =t cos 81 +2
3. f(1) =1t+b +a cosh 21 +bsinh /21
4. S(1) =?cos" (21)+e*
5. f(t)=-3t*e0.5+ +3.8t²e²4+
6. f(t) =-e" sin (21 + 7)
7. f(t)=3e" cosh (In 21) in two ways.
-2t
Note: Please DISREGARD the phrase
"in two ways" in item #7.
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