Find the Laplace transform of \(\displaystyle{f{{\left({t}\right)}}}={10}{t}{e}^{{-{5}{t}}}\)

Jakobe Norton 2022-04-15 Answered
Find the Laplace transform of f(t)=10te5t
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Answers (2)

stecchiniror7
Answered 2022-04-16 Author has 14 answers
We have:
L(t)=1s2
Thus, we have:
L(10te5t)=10F(s+5)=10(s+5)2
Note: we made use of the Shifting Theorem, which was mentioned to you in another post.
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granfury90210birm
Answered 2022-04-17 Author has 10 answers
HINT:
Use
L{eatf(t)}=F(sa)  if  L{f(t)}=F(s)
and
L(tn)=Γ(n+1)sn+1
and
Γ(n+1)=n! if n is non-negative integer
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