Which of the following describes the difference between convolutions for Fourier transforms and convolutions for Laplace transforms? ○ h(t) = f(tv)g(v)dv Integration limits O There is no difference OH(s) = F(s)G(s) when h = f*g Which of the following represents the convolution h = f* f of f = e 3t, in the context of Laplace transforms? of f(v)f(v-t)dv of -3ve-3(tv) dv e of f(v)g(t-v)dv Seve-3(tv) dv -3v Use LT and inverse LT to evaluate fe e-3(tu) dv. Make sure to simplify your answers. Step 1: L[f(t)] (s) = Step 2: L[h(t)](s) = Final answer: fee (t_v) dv=
Which of the following describes the difference between convolutions for Fourier transforms and convolutions for Laplace transforms? ○ h(t) = f(tv)g(v)dv Integration limits O There is no difference OH(s) = F(s)G(s) when h = f*g Which of the following represents the convolution h = f* f of f = e 3t, in the context of Laplace transforms? of f(v)f(v-t)dv of -3ve-3(tv) dv e of f(v)g(t-v)dv Seve-3(tv) dv -3v Use LT and inverse LT to evaluate fe e-3(tu) dv. Make sure to simplify your answers. Step 1: L[f(t)] (s) = Step 2: L[h(t)](s) = Final answer: fee (t_v) dv=
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
![Which of the following describes the difference between convolutions for Fourier transforms and convolutions for Laplace transforms?
○ h(t) =
f(tv)g(v)dv
Integration limits O There is no difference OH(s) = F(s)G(s) when h = f*g
Which of the following represents the convolution h = f* f of f = e 3t, in the context of Laplace transforms?
of f(v)f(v-t)dv
of
-3ve-3(tv) dv
e
of f(v)g(t-v)dv
Seve-3(tv) dv
-3v
Use LT and inverse LT to evaluate fe e-3(tu) dv. Make sure to simplify your answers.
Step 1: L[f(t)] (s) =
Step 2: L[h(t)](s) =
Final answer: fee (t_v) dv=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53ce1657-b18a-4e5a-99aa-3e87bdade9e3%2F264aba5a-ea85-40ab-944c-368d9bde988e%2F97y64sw_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following describes the difference between convolutions for Fourier transforms and convolutions for Laplace transforms?
○ h(t) =
f(tv)g(v)dv
Integration limits O There is no difference OH(s) = F(s)G(s) when h = f*g
Which of the following represents the convolution h = f* f of f = e 3t, in the context of Laplace transforms?
of f(v)f(v-t)dv
of
-3ve-3(tv) dv
e
of f(v)g(t-v)dv
Seve-3(tv) dv
-3v
Use LT and inverse LT to evaluate fe e-3(tu) dv. Make sure to simplify your answers.
Step 1: L[f(t)] (s) =
Step 2: L[h(t)](s) =
Final answer: fee (t_v) dv=
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