a) Find the equation of y(t) = L' {Y(s)} using PFE and the Residue theorem ?, = lim (s- p,)Y(s)] (Practice on the "covering rule !!)

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PROBLEM : Inverse Laplace, IVT and FVT
A system produces an "s" domain output signal given by:
2s
Y(s) = --
s +5s +6
Find the equation of y(t) = L' {Y(s)}using PFE and the Residue theorem
a)
lim (s- P,)Y(s)] (Practice on the "covering rule !!)
R,
b)
Find the equation of y(t) = L" {Y(s)} by using MATLAB to obtain the residues
and poles. Insert the MATLAB code and output
Obtain the plot (not the equation) of y(t)= L' {Y(s)} using MATLAB's
"Impulse" command. Insert the MATLAB code and the plot
d)
Use the IVT and the FVT to calculate y(0*) and y(0) from
2s
Y(s) =-
Are these values verified by the plot in part 4c)?
s? +5s +6
Transcribed Image Text:PROBLEM : Inverse Laplace, IVT and FVT A system produces an "s" domain output signal given by: 2s Y(s) = -- s +5s +6 Find the equation of y(t) = L' {Y(s)}using PFE and the Residue theorem a) lim (s- P,)Y(s)] (Practice on the "covering rule !!) R, b) Find the equation of y(t) = L" {Y(s)} by using MATLAB to obtain the residues and poles. Insert the MATLAB code and output Obtain the plot (not the equation) of y(t)= L' {Y(s)} using MATLAB's "Impulse" command. Insert the MATLAB code and the plot d) Use the IVT and the FVT to calculate y(0*) and y(0) from 2s Y(s) =- Are these values verified by the plot in part 4c)? s? +5s +6
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