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Ciel_Phantomhive
Group Title
inverse Laplace Transform F(s)= (s^2+2)/(s^2+2s+5)
 one year ago
 one year ago
Ciel_Phantomhive Group Title
inverse Laplace Transform F(s)= (s^2+2)/(s^2+2s+5)
 one year ago
 one year ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
no idea how to do this, but if you can find an answer it should match up with this http://www.wolframalpha.com/input/?i=inverse+laplace+%28s^2%2B2%29%2F%28s^2%2B2x%2B5%29
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
think it is partial fractions and then a formula, but really i should just shut up
 one year ago

Ciel_Phantomhive Group TitleBest ResponseYou've already chosen the best response.0
Yeah but before the use of partial expansion you have to to make it a proper fraction.
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
that i can do
 one year ago

Ciel_Phantomhive Group TitleBest ResponseYou've already chosen the best response.0
Will it be (s^2+2)/(s+1)^2+4?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
divide first \[\frac{s^2+2}{s^2+2s+5}=\frac{s^2+2s+52s3}{s^2+2s+5}\] \[=1+\frac{2x3}{s^2+2x+5}\]
 one year ago

Ciel_Phantomhive Group TitleBest ResponseYou've already chosen the best response.0
what did you divide by?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
i just arranged it so that the power up top was less than the power in the denominator it is either that, or long division
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
it is just an algebra trick so you don't have to divide
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
added and subtracted what i needed to match up with the denominator
 one year ago

Ciel_Phantomhive Group TitleBest ResponseYou've already chosen the best response.0
Oh okay Thanks
 one year ago

vf321 Group TitleBest ResponseYou've already chosen the best response.0
inverse laplace of 1 is the dirac delta  was that in the answer? Because if it wasn't then you may have added a solution...
 one year ago

Ciel_Phantomhive Group TitleBest ResponseYou've already chosen the best response.0
Oh I have forgotten that, thanks
 one year ago

vf321 Group TitleBest ResponseYou've already chosen the best response.0
Ah, yes. I just looked at the WolframAlpha link. It did indeed have the delta function.
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
yeah it is in there, rest looks like greek
 one year ago

vf321 Group TitleBest ResponseYou've already chosen the best response.0
Well the rest falls out of all of that fun stuff from DE class that I don't remember...
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
i know you use partial fractions, and then tables i think
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
but this is when i really should shut up, because i have no idea, although it seems like something i ought to learn
 one year ago

vf321 Group TitleBest ResponseYou've already chosen the best response.0
I'm pretty sure OP is familiar with relations such as \[\mathcal{L}^{1}\{\frac{1}{s^n}\} = \frac{t^{n1}}{\Gamma (n)}\]But yeah the hard part is just the setup, the rest is looking at the table!
 one year ago
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