Find the Laplace transforms of the given functions.f{{({t})}}=6e^(-5t)+e^(3t)+5t^(3)-9

babeeb0oL 2021-03-11 Answered

Find the Laplace transforms of the given functions.
f(t)=6e5t+e3t+5t39

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Expert Answer

okomgcae
Answered 2021-03-12 Author has 93 answers

Step 1
It can be solve using Laplace transformation table
We know that
L{eat}=1sa,L{tn}=n!sn+1
f(t)=6e5t+e3t+5t39
L{f(t)}=6L{e5t}+L{e3t+5L{t3}9L{1}
=6s+5+1s3+56s39H(t)
=7s13(s+5)(s3)+30s39H(t) where
H(t)={1t00t<0

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