Find the inverse Laplace transform of V s 11:6s2 91:83s 186:525 s3 10:95s2 35:525s 29:25

Chapter 14, Problem P14.11-1

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QUESTION:

Find the inverse Laplace transform of

\(V(s)=\frac{11.6 s^2+91.83 s+186.525}{s^3+10.95 s^2+35.525 s+29.25}\)

Questions & Answers

QUESTION:

Find the inverse Laplace transform of

\(V(s)=\frac{11.6 s^2+91.83 s+186.525}{s^3+10.95 s^2+35.525 s+29.25}\)

ANSWER:

Step 1 of 3

Given expression is,

     

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

>> num= [11.6  91.83  186.525] ;

>> den= [1  10.95  35.525  29.25] ;

>> [r, p] = residue ( num, den)

r  =

8.2000

          -3.6000

7.0000

p =

        -5.2000

        -4.5000

        -1.2500

 

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