Inverse laplace transform question

Question

asylum15 · Answer

$$F(s) = \frac{ 10 }{ (s+2)^4 }$$

asylum15 · Answer

Hi Zepdrix!

zepdrix · Answer

Hey! :)
Grrr I can't remember how to do these specific transforms.. with the exponent on the outside >;c gimme few minutes maybe I can figure it out.

asylum15 · Answer

It's not really solving it man, I just want to ask

asylum15 · Answer

You know how you have an S value and an a value?

asylum15 · Answer

The answer to this is $$\frac{ 5 }{ 3 } . t^3 . e^{-2t}$$

asylum15 · Answer

The step before that final answer is:

10/6 inverse laplace of (3!/3^4)

anonymous · Answer

sorry idk but i thing it

asylum15 · Answer

How do you know what S is?

How does s+2 become a single term?

turingtest · Answer

from the table here, it fits the form of #23 http://tutorial.math.lamar.edu/Classes/DE/Laplace_Table.aspx

zepdrix · Answer

So are you asking a more fundamental question like:
Why does the laplace of an exponential turn into 2 terms in the denominator?$$\Large \mathscr{L}(e^{at})\quad=\quad \frac{1}{s-a}$$

asylum15 · Answer

Let me show you

loser66 · Answer

can I say something?

asylum15 · Answer

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