L{t-3^(-3t)} which of the laplace transform is 1) L{t-3^(-3t)}=1/s^2+1/(s-3) 2) L{t-3^(-3t)}=1/s^2-1/(s-3)

Yasmin 2020-12-25 Answered

L{te3t}
which of the laplace transform is
1.) L{te3t}=1s2+1s3
2.) L{te3t}=1s21s3
3.) L{te3t}=1s2+1s+3
4.) L{te3t}=1s21s+3

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Expert Answer

BleabyinfibiaG
Answered 2020-12-26 Author has 118 answers
Step 1
We know the Laplace transforms L{tn}=n!sn+1,s>0
L{eat}=1(sa),s>0
Now, L{te3t}=L{t}L{e3t}
L{t}=1s2,s>0
L{te3t}=1s+3,s>3
L{te3t}=1s21(s+3)
Step 2
Answer: L{te3t}=1s21s+3 option 4) is correct
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