Hi

Could someone shed some light, on how I would solve the following difference equation?

Would I use the divide and conquer method or something else?

I look forward to your responses!

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- December 23rd 2012, 07:45 AMzziziWhat method to solve this difference equation?
Hi

Could someone shed some light, on how I would solve the following difference equation?

Would I use the divide and conquer method or something else?

I look forward to your responses! - December 23rd 2012, 12:22 PMchiroRe: What method to solve this difference equation?
Hey zzizi.

For these kinds of problems, you should consider getting a_n as a function of n purely and see if there is a relationship.

Also do you have a set of identities or formulas for your class that you are doing this exercise for? - December 23rd 2012, 01:02 PMzziziRe: What method to solve this difference equation?

Hi Chiro!

Yes I have been given a formula - I have attached it. Please have a look, I'd appreciate help in trying to apply this problem using the given formula. Thank youAttachment 26336 - December 23rd 2012, 01:11 PMchiroRe: What method to solve this difference equation?
Can you identify what the f's and g's should be in this formula? (It's mostly a thing of plugging in the definitions).

- December 23rd 2012, 01:22 PMzziziRe: What method to solve this difference equation?
- December 23rd 2012, 02:49 PMchiroRe: What method to solve this difference equation?
What about the factorial term? [Recall that g(n) = 5^n/n!]

- December 23rd 2012, 02:54 PMzziziRe: What method to solve this difference equation?
Oh yes!

How about now? - December 23rd 2012, 02:56 PMchiroRe: What method to solve this difference equation?
Recall that f(n) = 5/n [Hint: Look at the last multiplication term, you've confused f(n) and g(n) using the definition]

- December 23rd 2012, 03:00 PMzziziRe: What method to solve this difference equation?
- December 23rd 2012, 04:22 PMchiroRe: What method to solve this difference equation?
That looks pretty good.

- December 24th 2012, 09:33 AMzziziRe: What method to solve this difference equation?
Would this next step be correct?

- December 25th 2012, 08:43 AMzziziRe: What method to solve this difference equation?
Can anyone help me with this next step? or possibly offer a link to site that offers a tutorial on this subject. Is this called the telescoping method? Many thanks in advance

- December 25th 2012, 02:37 PMBobPRe: What method to solve this difference equation?
First solve the homogeneous equation

Work it out from

etc.

Having done that, assume that the solution to the original equation is

Substitute that in and show that

That gets you the solution - December 25th 2012, 02:49 PMzziziRe: What method to solve this difference equation?
Thank you so so much! I wish you were my lecturer!!

- December 25th 2012, 03:42 PMzziziRe: What method to solve this difference equation?
.