Non-linear difference equation transformation

leothorn
Messages
22
Reaction score
0

Homework Statement


The problem is tough to type out correctly. Pasting problem statement image

http://postimg.org/image/a0r92a0wl/

http://postimg.org/image/a0r92a0wl/


The Attempt at a Solution



I just need to know how to proceed with the problem. Not the answer. This is the scan of my attempt.
http://postimg.org/image/uun8gt2sz/

http://postimg.org/image/uun8gt2sz/

I stuck about how i eliminate the x and y terms. I thought replacing it with GP series sum would help but it unnecessarily introduces a restriction on x and y.

Is the initial process in my worked out solution correct?
if not what direction do you suggest ?
 
Last edited:
Physics news on Phys.org
.bump. either the question is tough or i ll have to type up the problem as they can't be bothered to see the images ...or question is too easy ..
 
I suggest posting this in the 'calculus & beyond' section. This definitely does not belong under the rubric 'introductory physics'.
 
leothorn said:
.bump. either the question is tough or i ll have to type up the problem as they can't be bothered to see the images ...or question is too easy ..

I have to say that every time somebody links to an image which contains the problem statement and solution, I ignore the post.
 
micromass said:
I have to say that every time somebody links to an image which contains the problem statement and solution, I ignore the post.

Well not everyone is comfortable with latex and well some equations are just easier to write out. Each to his own I guess. Ill type them out if i can
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top