kychambers473 kychambers473

23-08-2019
Mathematics

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

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LammettHash LammettHash

23-08-2019

Recall that

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

Then

[tex]F(s)=\dfrac2{(s-5)^3}+\dfrac4{(s-5)^2}+\dfrac7{s-5}[/tex]

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