Question

amistre, need you for about a minute

Answer 1

homogeneous vs. non-homogeneous recap

Answer 2

ack!!... lol what do we need to recap :)

Answer 3

a was not homogeneouss

Answer 4

recursion equations.....

Answer 5

On worksheet 12A, part a) is non-homogeneous. I've pasted in below the definition of the terminology for homogeneous. I think that what you are missing is that they are implying, but not directly saying, that you put you x terms on the left, and your non-x terms on the right. So the equation in a) should be analyzed as

xn+1 +xn-1 = - n^2, or more directly matching the expression highlighted in yellow below, we would write:



xn+1 - (-1)xn-1 = -n^2



Clearly the non-x term, -n^2 is not worth zero.

Answer 6

ok... 1a or 2a? 2a was definanlty not homogenous...

Answer 7

number 1 had 4 parts

Answer 8

the only thing that is squared to get zero is zero.... right?

Answer 9

and I agree that -n^2 would definantly not be 0...all the time ;)

Answer 10

yes

Answer 11

X{n+1} + n^2 + X{n-1} = 0

that n^2 makes me think its not linear; or do we only look at the X{..} parts for that?

Answer 12

only have c as linear

Answer 13

so would b also be nonhom

Answer 14

well, then X{...} parts all come to one side and we are left with 0 over there for b0 right?

Answer 15

yes

Answer 16

X{n+1} - (pi)X{n} " (2^2)X{n} = 0 right?

Answer 17

is that spoosed to be 2 [X{n}]^2?

Answer 18

that was original rationale but when I emailed him that I got confused by his response

Answer 19

yes

Answer 20

what was his respone?

Answer 21

No, you can't get the right side to zero by transforming it, causing all
>>of
>>the constants to go to the left side.

Answer 22

lol...isnt that what the book does? the material says to put it all to the other side and equate it to zero :)

Answer 23

what aint attached to an X{...} stays put

Answer 24

so b is homo

Answer 25

id say yes, but your material is not easy to parse :)

Answer 26

you need to find help with recurrsion equations; and see if anyone can aid you in that way :) calling them difference equations is like speaking a foriegn language..

Answer 27

c is nonhomo d???

Answer 28

I've bee reading about them all weekend and the name does throw people off...

Answer 29

d homo?

Answer 30

i would say that d is left with a 1/2 on one side..... im guesing nonhomo

Answer 31

ok bc cand divide to move yn and have 1/2 not 0 on the right side

Answer 32

with b you should subtract everything over there becasue they involve X{....} leaving you with 0

Answer 33

yes so I have b only homo

Answer 34

as far as I can tell; yes :)

Answer 35

ok thanks!

Answer 36

wish i could be more confident on those; but they seem to elude me ;)

Answer 37

no problem,,,thanks sooooo much for all of your help!!!!!!