Inverse Laplace Transform Example

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Today, we use the residue theorem to evaluate an inverse Laplace transform.

Proof of formula:
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Thanks a lot. Please keep this complex analysis stuff going! Super nice work!

FunctionalIntegral
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5:34 It's easier not to reduse (s+i) or (s-i) because (i+i)^4 or (-i-i)^4 is 16, so thier denominator becomes rational.

hyeonsseungsseungi
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Great, as always.
Please do it for Fourier transform, too.
Thank you dear *QN³* .

wuyqrbt
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Very cool.
In a free time, i'd like to suggest u the inverse laplace transform with branch points.

shandyverdyo