Find the Laplace Transform of the following functions 1) f() cos(ar) Ans. F(s)=7 2ws 2) f() sin(at) Ans. F(s)= s² + a² 3) f(r)-rcosh(at) Ans. F(s)= 2as 4)(t)=sin(at) Ans. F(s)= 2 5) f(1) = 2te' Ans. F(s)= (S-1) 5+2 6) (1) e cos() Ans. F(s) = (+2)+1 7) (1) (Acostẞr)+ Bsin(Br)) Ans. F(s)- A(s+a)+BB (s+a)+B 8) f()-(-)() Ans. F(s)= 9)(1)(1) Ans. F(s): 10) f(r),()sin() Ans. F(s): 11) 2 k 12) 0 13) 0 70 ㄷ.. a 2a 3a 4a 2 3 4 14) f(1)=1, 0<1<2 15) (1) Ksin(t) 0
Find the Laplace Transform of the following functions 1) f() cos(ar) Ans. F(s)=7 2ws 2) f() sin(at) Ans. F(s)= s² + a² 3) f(r)-rcosh(at) Ans. F(s)= 2as 4)(t)=sin(at) Ans. F(s)= 2 5) f(1) = 2te' Ans. F(s)= (S-1) 5+2 6) (1) e cos() Ans. F(s) = (+2)+1 7) (1) (Acostẞr)+ Bsin(Br)) Ans. F(s)- A(s+a)+BB (s+a)+B 8) f()-(-)() Ans. F(s)= 9)(1)(1) Ans. F(s): 10) f(r),()sin() Ans. F(s): 11) 2 k 12) 0 13) 0 70 ㄷ.. a 2a 3a 4a 2 3 4 14) f(1)=1, 0<1<2 15) (1) Ksin(t) 0
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Transcribed Image Text:Find the Laplace Transform of the following functions
1) f() cos(ar)
Ans. F(s)=7
2ws
2) f() sin(at)
Ans. F(s)=
s² + a²
3) f(r)-rcosh(at)
Ans. F(s)=
2as
4)(t)=sin(at)
Ans. F(s)=
2
5) f(1) = 2te'
Ans. F(s)=
(S-1)
5+2
6) (1) e cos()
Ans. F(s) =
(+2)+1
7) (1) (Acostẞr)+ Bsin(Br)) Ans. F(s)-
A(s+a)+BB
(s+a)+B
8) f()-(-)()
Ans. F(s)=
9)(1)(1)
Ans. F(s):
10) f(r),()sin()
Ans. F(s):
11)
2
k
12)
0
13)
0
70
ㄷ..
a 2a 3a 4a
2 3 4
14) f(1)=1,
0<1<2
15) (1) Ksin(t) 0<t</w
16) f(t)=Kcos(wt) 0<t<2x/w
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Ans. F(s)=2(1-e)
k
Ans. F(s)=
s(1+e)
Ans. F(s)=
1
s(1+e")
Ans. F(s)
F(s) ====
e-2 2e²
S
K(+)
Ans. F(s)=-
(s²+w²)
Ks(1-e)
Ans. F(s)=-
(s²+w²)
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