Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform Lleft{3e^{-4t}-t^{2}+6t-9right}

Ava-May Nelson 2020-12-12 Answered
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform
L{3e4tt2+6t9}
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Expert Answer

firmablogF
Answered 2020-12-13 Author has 92 answers
Step 1
L{3e4tt2+6t9}
L(eat)=1sa
L(tn)=n!sn+1
Step 2
L(3e4tt2+6t9)
=3(1s+4)2!s2+1+6(1!s1+1)9(1s)
=3s+42s3+6s29s
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