Find the inverse Laplace transform of V s 8s3 139s2 774s 1471 s4 12s3 77s2 296s 464

Chapter 14, Problem P14.11-2

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QUESTION:

Find the inverse Laplace transform of

\(V(s)=\frac{8 s^3+139 s^2+774 s+1471}{s^4+12 s^3+77 s^2+296 s+464}\)

Questions & Answers

QUESTION:

Find the inverse Laplace transform of

\(V(s)=\frac{8 s^3+139 s^2+774 s+1471}{s^4+12 s^3+77 s^2+296 s+464}\)

ANSWER:

Step 1 of 4

Given ,,

     

We need to find the inverse Laplace transform.So we will find the partial expression first. According to given problem partial expression are done by MATLAB as below,

>> num= [8  139  774  1471] ;

     den= [1  12  77  296  464] ;

     [ r , p ] = residue (num, den)

r  =

3.0000 - 6.0000i

3.0000 + 6.0000i

2.0000 + 0.0000i

3.0000 + 0.0000i

P  =

- 2.0000 + 5.0000i

- 2.0000 - 5.0000i

- 4.0000 + 0.0000i

- 4.0000 + 0.0000i

 

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