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ragman
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find inverse laplace transform of F(s)= (s^2+2s+5/(s^2(s+1))
 2 years ago
 2 years ago
ragman Group Title
find inverse laplace transform of F(s)= (s^2+2s+5/(s^2(s+1))
 2 years ago
 2 years ago

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ragman Group TitleBest ResponseYou've already chosen the best response.0
'note' sorry this is my first time using this what do you mean by that?
 2 years ago

Skaematik Group TitleBest ResponseYou've already chosen the best response.0
Im just bookmarking this question so that I can return to it later. :D Id want to know the answer too
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
oh ok sounds good thanks
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
your question is \[\huge \mathcal L ^{1} \left \{ s^2 + 2s + \frac 5{s^2(s+1)}\right \}\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
@ragman you there?
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
hey sorry about the late reply but my question is actually (s^2+22+5) / (s^2(s+1) sorry i forgot the other )
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
@lgbasallote
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
uhh s^2 + 22 + 5??
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
dang i keep doing typos 2s not 22 so yeah its (s^2+2s+5)
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
so.. \[\huge \mathcal L ^{1} \left \{ \frac{s^2 + 2s + 5}{s^2(s+1)} \right \}\]
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
can u do partial fractions ??
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
@hartnn yeah thats what i was doing but for some reason i could figure out the other two variable maybe im solving it incorrectly but i got 3 for A and 5 for B
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
where's C?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
those are correct, so u need only C right ? where u took C above s+1
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
your P.F. should be \[\huge \frac As + \frac B{s^2} + \frac C{s+1}\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
so you have \[\implies As(s+1) + B(s+1) + Cs^2 = s^2 + 2s + 5\]
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
oh ok so thats where i messed up i thought that where C is it should be (Cs+D) so i was trying to solve for both of those variables
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
nopes only C, if it were s^2+1 u would have taken Cx+D
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
so i think u can get C now, right?
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
oh i see now and yeah i believe i can get C now trying it right now
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
i think it will change your A value too
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
so you best check
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
great tell us what u get C as....we all will verify that. A is correct.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
nope nevermind..it stays the same
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
ok sounds good got B=5 finding A now
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
A=3 and C=4 is that what you guys got?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yup, same.Good work.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
yeah that's right
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
ok cool i was about to write out how i got it lol
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
everything's right
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
and now i just plug back all the variables right
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yup, and use inverse laplace formulas.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
yep find \[\huge \mathcal L ^{1} \left \{ \frac 3s + \frac 5s + \frac 4{s+1} \right \}\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
uhh that should be 5/s^2
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
ok sorry im just learning this but how do you go about doing that im trying to find the L^1 formula but my notes arent really helping
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
here's a hint: \[\huge \mathcal L \{ a \} = \frac as\] \[\huge \mathcal L \{ t^n\} = \frac{n!}{s^{n+1}}\] \[\huge \mathcal L \{e^{at} \} = \frac{a}{s a}\] does that help?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
uhhh wait... wrong formula for last one
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
\[\huge \mathcal L \{e^{at} \} = \frac{1}{sa}\] better
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
yes thats very helpful but im getting confused with what n should be in the middle equations
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
n is the exponent
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
so it would be 2?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for example: \[\huge \mathcal L \{ t^2 \} = \frac{2!}{s^{2+1}} \implies \frac{2}{s^3}\]
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
thats whats a lil confusing to me because on the denominator it would have to be n=1 so that it would equal s^2 but on the numerator 1! equals 1 right ?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yes thats true, so u will have 5t^1= 5t ....isn't it ? u can verify that u should get final answer as 5t3+4e^(t) did u get that?
 2 years ago

ragman Group TitleBest ResponseYou've already chosen the best response.0
yup thats what i got thanks
 2 years ago
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