Find the inverse Laplace transform of the function by using the convolution theorem. F(s) = 1 6.2 s (s+1) Choose one L³ {F(s)}(t) = t 1 = √(t-T)° sinTdT 6!0 1 -T) sinτdτ 1 ' FR515 5! 11 5! (t-T) COSTdT (t-T) sinTdT t- ·T) COSTdT Choose one 1 L-¹{F(s)}(t)= (t-7) sin 7 dr 6! 1 15 (-7)' sin 7 dr (-7) co cos T dr (t-7) sin r dr 5! Jo (t-7)' cos T dT
Find the inverse Laplace transform of the function by using the convolution theorem. F(s) = 1 6.2 s (s+1) Choose one L³ {F(s)}(t) = t 1 = √(t-T)° sinTdT 6!0 1 -T) sinτdτ 1 ' FR515 5! 11 5! (t-T) COSTdT (t-T) sinTdT t- ·T) COSTdT Choose one 1 L-¹{F(s)}(t)= (t-7) sin 7 dr 6! 1 15 (-7)' sin 7 dr (-7) co cos T dr (t-7) sin r dr 5! Jo (t-7)' cos T dT
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
Related questions
Question
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
Transcribed Image Text:Find the inverse Laplace transform of the function by
using the convolution theorem.
F(s) =
1
6.2
s (s+1)
Choose one
L³ {F(s)}(t) =
t
1
= √(t-T)° sinTdT
6!0
1 -T) sinτdτ
1 '
FR515
5!
11
5!
(t-T) COSTdT
(t-T) sinTdT
t- ·T) COSTdT
Choose one
1
L-¹{F(s)}(t)=
(t-7) sin 7 dr
6!
1
15
(-7)' sin 7 dr
(-7) co
cos T dr
(t-7) sin r dr
5! Jo
(t-7)' cos T dT
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