Suppose we are given the following partial table of Laplace Transforms: f(t) F(s) = L{f(t)} sinh(at) – sin(at) 2a³ cosh(at) cos(at) sinh(at) + sin(at) cosh(at)+cos(at) b. Find L-1 {e-²$(105+3)} S494 2a²s c. Find L{e-4t [cos(3t) + cosh(3t)]} S494 2as² sing only these transforms and the translation theorems on the provided transform sheet, and without sing any partial fraction decompositions: a. Find £{sinh 7t + sin 7t} 54-a4 2s³ S4a4
Suppose we are given the following partial table of Laplace Transforms: f(t) F(s) = L{f(t)} sinh(at) – sin(at) 2a³ cosh(at) cos(at) sinh(at) + sin(at) cosh(at)+cos(at) b. Find L-1 {e-²$(105+3)} S494 2a²s c. Find L{e-4t [cos(3t) + cosh(3t)]} S494 2as² sing only these transforms and the translation theorems on the provided transform sheet, and without sing any partial fraction decompositions: a. Find £{sinh 7t + sin 7t} 54-a4 2s³ S4a4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer asappppp correctly using the chart thanks
![Suppose we are given the following partial table of Laplace Transforms:
f(t)
sinh(at) – sin(at)
cosh(at) cos(at)
sinh(at) + sin(at)
cosh(at) + cos(at)
b. Find L-1 ¹{e-²5(105+3)}
S4-625
F(s)=L{f(t)}
2a³
c. Find L{e-4t [cos(3t) + cosh (3t)]}
S494
2a²s
54-94
2as²
Using only these transforms and the translation theorems on the provided transform sheet, and without
using any partial fraction decompositions:
a. Find C{sinh 7t + sin 7t}
54-94
25³
S4 a4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24e9c030-c4e6-49da-b6c6-4b7d6c7f6fcd%2F960502b2-2a67-4f99-9ede-338040d7a24b%2F0wv92ds_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose we are given the following partial table of Laplace Transforms:
f(t)
sinh(at) – sin(at)
cosh(at) cos(at)
sinh(at) + sin(at)
cosh(at) + cos(at)
b. Find L-1 ¹{e-²5(105+3)}
S4-625
F(s)=L{f(t)}
2a³
c. Find L{e-4t [cos(3t) + cosh (3t)]}
S494
2a²s
54-94
2as²
Using only these transforms and the translation theorems on the provided transform sheet, and without
using any partial fraction decompositions:
a. Find C{sinh 7t + sin 7t}
54-94
25³
S4 a4
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