Question

Find the solution of a discrete dynamical system

Answer 1

hey btm I solved your problem

Answer 2

http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4dcaa12840ec8b0b88f50f17

Answer 3

\[a _{0}=3 \]

Answer 4

\[a _{n}=2a_{n-1}+ 2 \]

Answer 5

thanks for that...

Answer 6

this is another one and I have worked it out but doesn't seem to fit

Answer 7

I got it

Answer 8

a0=3
a1= 2(a0)+2
a2= 2(a1)+2 = 2[2(a0)+2]+2=2 (3 + 2 a0)
a3= 2(a2)+2=2(3+2a0)+2=2 (7 + 4a0)

Answer 9

ok...I will be back in 10 minutes...I have more if you can help

Answer 10

a4=2 (15 + 8 a0])
At this point you should see a pattern
aN= 2(2^n\[a_n=(2^n-1)+2^{n-1}a_0\]

Answer 11

thanks...not checking out on calculator

Answer 12

what do you mean?

Answer 13

there is a way on graphing cal. to enter the system to check to see if the solution works

Answer 14

it works by hand so thanks!

Answer 15

I have two more...can you help

Answer 16

sure,

Answer 17

\[b _{0}=3\]

Answer 18

\[b _{n}=.25b _{n-1}-1-n\]

Answer 19

b1=.25*b0 - 1 - 1=0.25 (-8. +b0)
b2=.25*b1 - 1 - 2=-3 + 0.25` (-2 + 0.25` b0)=0.0625 (-56. +b0)
b3=-4 + 0.25 (-3 + 0.25 (-2 + 0.25 b0))=0.015625 (-312. + b0)

The pattern I could figure out was
\[b_n=.25^n[-( 4/9 (3* 2^{2 n} n+2^{2 n+1}-2) + b_0)\]

Answer 20

thanks and last one

Answer 21

\[r _{0}=3\]

Answer 22

did you see the solution to your credit card problem?

Answer 23

\[r _{n}=r _{n-1}+2\]

Answer 24

have to go back and read/study it

Answer 25

This one is rather easy

Answer 26

r1=2+r0
r2=4+r0
r3=6+r0
I will let you figure out the pattern yourself

Answer 27

yes it since it is linear and of order 1

Answer 28

what year are you?

Answer 29

ooopss have another one

Answer 30

actually in graduate school for Educational Psychology but taking 1 credit math module for financial aid purposes...grrhhh

Answer 31

but I'm learning some real life applications in the process

Answer 32

\[d _{0}=3\]

Answer 33

I am sure of the relation between psyc and this

Answer 34

*I am not sure of the relation between psyc and this

Answer 35

\[r _{n}=.65a _{n-1}+1.05(.5)^{n}\]

Answer 36

I know that is why its is frustrating to figure this stuff out on my own without a professor

Answer 37

a lot of work for 1 credit....

Answer 38

1 credit hour?

Answer 39

so I truly appreciate your help!

Answer 40

YES!

Answer 41

I don't think my uni has any 1 credit hour class

Answer 42

approved modules for financial aid purpose...doesn't count towards degree...go figure!

Answer 43

I remember some grad student in my physics, never knew why

Answer 44

so frustrating but can't afford to pay out of pocket right now

Answer 45

this is first and last semester taking this route...actually have 3 summer courses so don't have to worry about it then

Answer 46

you going for phd?

Answer 47

masters then maybe doctorate...

Answer 48

did you see last problem

Answer 49

Yea, working on it

Answer 50

are you doing by hand

Answer 51

most of it