find the Laplace transform of f (t). f(t)=t \sin 3t

slaggingV 2021-09-17 Answered
find the Laplace transform of f (t).
f(t)=tsin3t
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Expert Answer

lamanocornudaW
Answered 2021-09-18 Author has 85 answers
Step 1
Given f(t)=tsin3t
Since L[sin3t]=3s2+32
L(sin3t)=3s2+9
L(tsin3t)=(1)dds(3s2+9)
[Using the property,  L(tnf(t))=(1)ndndsnF(s)]
L(tsin3t)=3dds(1s2+a)
=3dds(s2+a)1
=3(1)(s2+9)2dds(s2+a)
=3(s2+9)2(2s)
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