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Compute F(s), the Laplace transform of f(t) = e^(5t) (t^2 +4t +7)
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Compute F(s), the Laplace transform of f(t) = e^(5t) (t^2 +4t +7)

User BHMulder
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1 Answer

6 votes

Recall that


\mathcal L_s\{t^ne^(ct)\}=(n!)/((s-c)^(n+1))

Then


F(s)=\frac2{(s-5)^3}+\frac4{(s-5)^2}+\frac7{s-5}

User Papezjustin
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