(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the unit impulse response for the operator D^4 + I, using the Laplace transform.

2. Relevant equations

3. The attempt at a solution

w^(4) + w = δ(t)

s^4W + W = 1

W = 1 / (s^4 +1)

Now, I need to find the inverse laplace transform of W. But I don't know how to simplify W. Should I use partial fractions? If so, how do I factor the denominator?

(Note: In the first line "^(4)" refers to the fourth derivative with respect to t.

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# Homework Help: Inverse Laplace Transform Help

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