Finding Inverse Laplace transforms of a function
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Finding the inverse Laplace transform of the function
X(s) = s/{(s - 2)^1.5.(s^2 + 1)}
Using partial fraction expansion and inverse laplace transforms of known functions.
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Solution Summary
Finding the inverse Laplace transform of the function
X(s) = s/{(s - 2)^1.5.(s^2 + 1)}
Using partial fraction expansion and inverse laplace transforms of known functions
Solution Preview
Finding the inverse Laplace transform of the function
X(s) = s/{(s - 2)^1.5.(s^2 + 1)}
Using partial fraction expansion and inverse laplace transforms of known functions
See attachment for full solution
Question : Find the inverse Laplace transform, call it , of the function
Solution:
We will write the function in a different form noting that can be written
as thus
So now we let the term be denoted by and the term be denoted by
Now we look to expand into its constituent ...
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