Inverse Laplace Transform

Bkalma

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May 5, 2014
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Find the inverse Laplace transform of:

(3s + s*exp(-4s) +2*exp(-4s) +s^3)/((s^2)(s-1)(s+1))

- Suggest using partial fractions (This is where I had trouble).
 
Find the inverse Laplace transform of:

(3s + s*exp(-4s) +2*exp(-4s) +s^3)/((s^2)(s-1)(s+1))

- Suggest using partial fractions (This is where I had trouble).

(3s + s*exp(-4s) +2*exp(-4s) +s^3)/((s^2)(s-1)(s+1))

\(\displaystyle = \dfrac{3}{s(s-1)(s+1)} \ \ + \ \ 2*e^{-4s}\dfrac{1}{s^2(s-1)(s-2)} \ \ + \ \ \dfrac{s}{(s-1)(s+1)}\)

Where is the trouble?

Please share your work with us ...

If you are stuck at the beginning tell us and we'll start with the definitions.

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