
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 29th, 2012, 02:12 PM  #1 
Member Joined: Dec 2010 Posts: 51 Thanks: 0  Series solution near regular singular point
So you have and at is a regular singular point. Therefore you plug in the generalized power series into the differential equation. You should get: soo... the indicial equation is Now, for my question: Why do I consider r=1, but not r=0? The back of the book only has as a solution. Why is r=0 not a solution? Is there a general rule on when to and when not to consider an indicial equation root? Also, what if I've gotten ? or (where k is nonzero)? Thanks 

Tags 
point, regular, series, singular, solution 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
is 0 a regular singular point?  rmjmu507  Complex Analysis  0  May 9th, 2012 01:45 AM 
Power Series singular point  j_bloggs  Complex Analysis  0  March 15th, 2010 01:21 AM 
Power Series NonZero Regular Singular Point?  Pfeffernusse  Complex Analysis  1  December 12th, 2009 10:04 PM 
Series Solution About a Regular Singular Point  mr_dude32  Calculus  1  December 10th, 2008 07:16 PM 
Series Solution About a Regular Singular Point  mr_dude32  Linear Algebra  1  December 10th, 2008 12:15 PM 