what is the laplace transformation of the function in the picture f(x)=xsin x

naivlingr 2020-11-16 Answered
what is the laplace transformation of the function in the picture f(x)=xsinx
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Gennenzip
Answered 2020-11-17 Author has 96 answers
Step 1 Given that f(x)=xsinx find out the Laplace transform of f(x) Step 2 Here we use the property L[tnf(t)]=(1)ndndsn[f(s)]
Let f(t)=sint
L[f(t)]=1s2+1=f¯(s)
L[tf(t)]=(1)1dds[1s2+1]
=1dds(s2+1)1
=1(1)(s2+1)2(2s)
=2s(s2+1)2
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