Question

Use Laplace transform definition to find L{f(t)}

f(t) = e-4t cost

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Answer #1

.ut f(+) =é cost :.L(f(t)) = Sest fcu de by definition st -4 е. Cost at = S = (Sun) . Cost dt. =lim Roo Let Cost dt TRES. cosThen [1+(5+] I = *5*4)? [sint – (s+4) Cast -(3+4) >> I- (5+41+1 [Sint – ($+4) Gost] this value I in we get putting L(f(t)) =

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