FOR THE TWO PROBLEMS BELOW use MATLAB to answer (a) & (b): F(s) = 10(s + 2)(s+ 4

Question

FOR THE TWO PROBLEMS BELOW use MATLAB to answer (a) & (b):
F(s) = 10(s + 2)(s+ 4) / (s + 1)(s + 3)(s + 5)^2

F(s) = s^4 + 5s^3 + 6s^2 + 9s + 30 / s^4 + 6s^3 + 21s^2 + 46s + 30
a) Obtain the partial-fraction expansion of the following function with MATLAB
b) then obtain the inverse Laplace transform of F(s)


FOR THE TWO PROBLEMS BELOW use MATLAB to answer (a) & (b):
F(s) = 10(s + 2)(s+ 4) / (s + 1)(s + 3)(s + 5)^2

F(s) = s^4 + 5s^3 + 6s^2 + 9s + 30 / s^4 + 6s^3 + 21s^2 + 46s + 30
a) Obtain the partial-fraction expansion of the following function with MATLAB
b) then obtain the inverse Laplace transform of F(s)



F(s) = 10(s + 2)(s+ 4) / (s + 1)(s + 3)(s + 5)^2

F(s) = s^4 + 5s^3 + 6s^2 + 9s + 30 / s^4 + 6s^3 + 21s^2 + 46s + 30
a) Obtain the partial-fraction expansion of the following function with MATLAB
b) then obtain the inverse Laplace transform of F(s)



a) Obtain the partial-fraction expansion of the following function with MATLAB
b) then obtain the inverse Laplace transform of F(s)

Explanation / Answer

Matlab Code for (a) and (b) parts

[r1,p1,k1] = residue([10 60 80],[1 14 68 130 75])
[r2,p2,k2] = residue([1 5 6 9 30],[1 6 21 46 30])
syms s1 s2
sys1 = (10*(s1 + 2)*(s1+ 4)) / ((s1 + 1)*(s1 + 3)*(s1 + 5)^2);
sys2 = (s2^4 + 5*s2^3 + 6*s2^2 + 9*s2 + 30) / (s2^4 + 6*s2^3 + 21*s2^2 + 46*s2 + 30);
ilaplace(sys1)
ilaplace(sys2)

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