Question #232314

L{ s/ (s2+1)2 }

1
Expert's answer
2021-09-05T18:29:08-0400
f(t)=L1(s(s2+1)2)=12L1(2(1)s(s2+(1)2)2)f(t)=L^{-1}\big(\dfrac{s}{(s^2+1)^2}\big)=\dfrac{1}{2}L^{-1}\big(\dfrac{2(1)s}{(s^2+(1)^2)^2}\big)

=12tsint=\dfrac{1}{2}t\sin t


f(t)=L1(s(s2+1)2)=12tsintf(t)=L^{-1}\big(\dfrac{s}{(s^2+1)^2}\big)=\dfrac{1}{2}t\sin t


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