6.34 Please help me with the below problem posting for the second time I need the exactly correct answer, please will be given like correct answer... Let f satisfy f (t +T) = f(t) for all t >0 and for some fixed positivenumber T; f is said to be periodic with period T on 0

The given problem is related to Laplace transform. Given: the Laplace transform of a periodic…

Answered: Let f satisfy f (t +T) = f(t) for all t…

Let f satisfy f (t +T) = f(t) for all t > 0 and for some fixed positive number T; f is said to be periodic with period T on 0

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

6.34 Please help me with the below problem posting for the second time I need the exactly correct answer, please will be given like correct answer...

Let f satisfy f (t +T) = f(t) for all t >0 and for some fixed positive
number T; f is said to be periodic with period T on 0 <t < o.
Then, the Laplace transform of f(t) is given by
1
L{f(t)} =
e-s* f(t) dt.
1- e-sT
Use this fact to find the Laplace transform of the given function.
( 1, 0<t<5
1-1, 5<t< 10
{() =
f(t+ 10) = f(t)
L{f(t)} =

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