Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
goalie2012
Group Title
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.
 one year ago
 one year ago
goalie2012 Group Title
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.
 one year ago
 one year ago

This Question is Open

goalie2012 Group TitleBest ResponseYou've already chosen the best response.0
@oldrin.bataku do you know this method?
 one year ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.0
Let me see...
 one year ago

primeralph Group TitleBest ResponseYou've already chosen the best response.0
@goalie2012 Are you very familiar with summations?
 one year ago

goalie2012 Group TitleBest 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...
 one year ago

primeralph Group TitleBest 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.
 one year ago

oldrin.bataku Group TitleBest 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.
 one year ago

oldrin.bataku Group TitleBest 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).
 one year ago

goalie2012 Group TitleBest 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.
 one year ago

goalie2012 Group TitleBest ResponseYou've already chosen the best response.0
@oldrin.bataku @primeralph how do I find/get rid of the r value?
 one year ago

primeralph Group TitleBest ResponseYou've already chosen the best response.0
Find the constant number that shifts the power from n to n+r.
 one year ago

goalie2012 Group TitleBest 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...
 one year ago

goalie2012 Group TitleBest 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?
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.