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use the frobenius method to solve xy''y'+2y=0. find index "r" and recurrence relation. compute the first 5 terms(a0a4) using the recurrence relation for each solution and index r.
 10 months ago
 10 months ago
use the frobenius method to solve xy''y'+2y=0. find index "r" and recurrence relation. compute the first 5 terms(a0a4) using the recurrence relation for each solution and index r.
 10 months ago
 10 months ago

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goalie2012Best ResponseYou've already chosen the best response.0
@oldrin.bataku do you know this method?
 10 months ago

primeralphBest ResponseYou've already chosen the best response.0
@goalie2012 Are you very familiar with summations?
 10 months ago

goalie2012Best ResponseYou've already chosen the best response.0
I know that's how this problem should be solved, and I more or less know them, but I still get messed up on some of them. Like this one...
 10 months ago

primeralphBest ResponseYou've already chosen the best response.0
Cool, @oldrin.bataku should be able to explain it to you. I skip a lot of steps when explaining stuff like that.
 10 months ago

oldrin.batakuBest ResponseYou've already chosen the best response.0
$$xy''y'+2y=0$$Observe we may rewrite this in standard form:$$y''\frac1xy'+\frac2xy=0$$which has a very apparent singular point at \(x=0\). With a little further attention we can see it's a regular singular point.
 10 months ago

oldrin.batakuBest ResponseYou've already chosen the best response.0
The method of Frobenius assumes, then, a solution of the form \(y=\sum\limits_{n=0}^\infty a_nx^{r+n}\) (note our expansion about the singular point).
 10 months ago

goalie2012Best ResponseYou've already chosen the best response.0
@oldrin.bataku I've tried what I can think of, but I'm not really sure where to go from here. I'm still getting used to and figuring these things out.
 10 months ago

goalie2012Best ResponseYou've already chosen the best response.0
@oldrin.bataku @primeralph how do I find/get rid of the r value?
 10 months ago

primeralphBest ResponseYou've already chosen the best response.0
Find the constant number that shifts the power from n to n+r.
 10 months ago

goalie2012Best ResponseYou've already chosen the best response.0
I'm trying to work it through with my book, but it's not helping. It says to find an indicial equation. still not really sure what to do...
 10 months ago

goalie2012Best ResponseYou've already chosen the best response.0
@oldrin.bataku I'm so lost. Tried to so something and got a mess. you explained the others very well, could you explain this one to if you're still here somewhere?
 10 months ago
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