use properties of the Laplace transform and the table of Laplace transforms to determine L[f] f(t)=e^{3t}cos5t-e^{-t}sin2t

Emily-Jane Bray 2021-03-04 Answered
use properties of the Laplace transform and the table of Laplace transforms to determine L[f] f(t)=e3tcos5tetsin2t
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Bella
Answered 2021-03-05 Author has 81 answers
Step 1 Given function is f(t)=e3tcos5tetsin2t Step 2 Obtain the Laplace transform. L{eatcosbt}=sa(sa)2+b2
L{eatsinbt}=b(sa)2+b2
L{f(t)}=L{e3tcos5tetsin2t}
=L{e3tcos5t}L{etsin2t}
=s3(s3)2+522(s(1))2+22
=s3(s3)2+252(s+1)2+4
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