nd the Laplace transform of the periodic tun tion f(t) whose graph is given below. (s) = L {f(t)} = = = (0+ 0 + 0) help (formulas) 1 1.8 1,0 (Click on graph to enlarge)

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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Question
Find the Laplace transform of the periodic function f(t) whose graph is given below.
F(s) = L {f(t)}
=
4
5
(10 -10 + (0)
+
help (formulas)
11
118
1,6
(Click on graph to enlarge)
Transcribed Image Text:Find the Laplace transform of the periodic function f(t) whose graph is given below. F(s) = L {f(t)} = 4 5 (10 -10 + (0) + help (formulas) 11 118 1,6 (Click on graph to enlarge)
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Follow-up Question
Entered
1/(1-[e^(-5*s)])
6*[e^(-5*t)]*dt
At least one of the answers above is NOT correct.
1
F(s) = L {f(t)} = ₁ —-'—-~ |· (√²
-5s
1-e
1
s(1-e-5s)
2*[e^(-5*t)]*dt
(1/[s*(1-[e^(-5*s)])])*(6-4*[e^(-s)]-2*[e^(-4*s)])
0*dt
Find the Laplace transform of the periodic function f(t) whose graph is given below.
S
1
(6-4e-5-2e-4s) help (formulas)
6e-5tat +
-1,8
11
[2e-5% dt] + ² C
1,0
(Click on graph to enlarge)
Odt
Answer Preview
1
1-e-5s
6e-5t dt
2e
1
s(1 e-5s)
-5t dt
Odt
(6 - 4e¯³ – 2e-4³)
Transcribed Image Text:Entered 1/(1-[e^(-5*s)]) 6*[e^(-5*t)]*dt At least one of the answers above is NOT correct. 1 F(s) = L {f(t)} = ₁ —-'—-~ |· (√² -5s 1-e 1 s(1-e-5s) 2*[e^(-5*t)]*dt (1/[s*(1-[e^(-5*s)])])*(6-4*[e^(-s)]-2*[e^(-4*s)]) 0*dt Find the Laplace transform of the periodic function f(t) whose graph is given below. S 1 (6-4e-5-2e-4s) help (formulas) 6e-5tat + -1,8 11 [2e-5% dt] + ² C 1,0 (Click on graph to enlarge) Odt Answer Preview 1 1-e-5s 6e-5t dt 2e 1 s(1 e-5s) -5t dt Odt (6 - 4e¯³ – 2e-4³)
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