Let F(s) be the Laplace tranform of f(x)=t cos (2t) find the value of F(1)

he298c 2021-09-27 Answered
Let F(s) be the Laplace tranform of f(x)=tcos(2t)
find the value of F(1)
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Expert Answer

Elberte
Answered 2021-09-28 Author has 95 answers

Step 1
Determine the Laplace transform of f(t)=tcos(2t)
L{f(t)}=L{tcos(2t)}
F(s)=dds(ss2+22)
=(s2+4)2s2(s2+4)2
=s24(s2+4)2
step 2
Substitute 1 for s in the equation F(s)=s24(s2+4)2
F(1)=124(12+4)2
=1452
=325
Therefore F(1)=325

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