# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Thu, 23 May 2013 14:58:38 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 1 post ]
 Print view Previous topic | Next topic
Author Message
 Post subject: difference equation, solving by diagonalization and?Posted: Thu, 12 Feb 2009 18:24:18 UTC
 Member

Joined: Sun, 8 Feb 2009 22:02:17 UTC
Posts: 21
What I want to ask here is, what is the fastest way usually to solve difference equation? I know how to do the sort of coefficient thing with lambdas, but am not sure bout smth in my notes... kinda the other way.

Here it is:
Xn+2 - 3Xn+1 + 2Xn=0, X0=0, X1=1.

Let Vn=(Xn)
...........(Xn+1)

Vn+1=(Xn+1)=( Xn+1)..........=(0 1) (Xn)
..........(Xn+2)..(3Xn+1 - 2Xn)...(-2 2) (Xn+1)

Vn+1=AVn

A=(0 1)
....(-2 3 ) V0=(0)
.....................(1)

What is the idea behind this? Where does 0 1
..........................................................-2 2
matrix come from and why does it change to 3 down there? Is there smth wrong here? Is this a general way of solution?

Most importantly, how do I get matrix A out of difference equation when i solve? Down from here, it's just diagonalization... that I can do.

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 1 post ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous