Solution Found!
Find the inverse Laplace transform of V s s2 6s 11 s3 12s2 48s 64 s2 6s 11 s 4 3
Chapter 14, Problem P14.11-3(choose chapter or problem)
QUESTION:
Find the inverse Laplace transform of
\(V(s)=\frac{s^2+6 s+11}{s^3+12 s^2+48 s+64}=\frac{s^2+6 s+11}{(s+4)^3}\)
Questions & Answers
QUESTION:
Find the inverse Laplace transform of
\(V(s)=\frac{s^2+6 s+11}{s^3+12 s^2+48 s+64}=\frac{s^2+6 s+11}{(s+4)^3}\)
ANSWER:Step 1 of 3
Given ,
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 below,
>> num= [1 6 11] ;
den= [1 12 48 64] ;
[ r , p ] = residue ( num , den)
r =
1 . 0000
- 2 . 0000
3 . 0000
p =
- 4 . 0000
- 4 . 0000
- 4 . 0000