anonymous
  • anonymous
Find the solution of a discrete dynamical system
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
hey btm I solved your problem
anonymous
  • anonymous
\[a _{0}=3 \]

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anonymous
  • anonymous
\[a _{n}=2a_{n-1}+ 2 \]
anonymous
  • anonymous
thanks for that...
anonymous
  • anonymous
this is another one and I have worked it out but doesn't seem to fit
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
I got it
anonymous
  • anonymous
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)
anonymous
  • anonymous
ok...I will be back in 10 minutes...I have more if you can help
anonymous
  • anonymous
a4=2 (15 + 8 a0]) At this point you should see a pattern aN= 2(2^n\[a_n=(2^n-1)+2^{n-1}a_0\]
anonymous
  • anonymous
thanks...not checking out on calculator
anonymous
  • anonymous
what do you mean?
anonymous
  • anonymous
there is a way on graphing cal. to enter the system to check to see if the solution works
anonymous
  • anonymous
it works by hand so thanks!
anonymous
  • anonymous
I have two more...can you help
anonymous
  • anonymous
sure,
anonymous
  • anonymous
\[b _{0}=3\]
anonymous
  • anonymous
\[b _{n}=.25b _{n-1}-1-n\]
anonymous
  • anonymous
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 \[b_n=.25^n[-( 4/9 (3* 2^{2 n} n+2^{2 n+1}-2) + b_0)\]
anonymous
  • anonymous
thanks and last one
anonymous
  • anonymous
\[r _{0}=3\]
anonymous
  • anonymous
did you see the solution to your credit card problem?
anonymous
  • anonymous
\[r _{n}=r _{n-1}+2\]
anonymous
  • anonymous
have to go back and read/study it
anonymous
  • anonymous
This one is rather easy
anonymous
  • anonymous
r1=2+r0 r2=4+r0 r3=6+r0 I will let you figure out the pattern yourself
anonymous
  • anonymous
yes it since it is linear and of order 1
anonymous
  • anonymous
what year are you?
anonymous
  • anonymous
ooopss have another one
anonymous
  • anonymous
actually in graduate school for Educational Psychology but taking 1 credit math module for financial aid purposes...grrhhh
anonymous
  • anonymous
but I'm learning some real life applications in the process
anonymous
  • anonymous
\[d _{0}=3\]
anonymous
  • anonymous
I am sure of the relation between psyc and this
anonymous
  • anonymous
*I am not sure of the relation between psyc and this
anonymous
  • anonymous
\[r _{n}=.65a _{n-1}+1.05(.5)^{n}\]
anonymous
  • anonymous
I know that is why its is frustrating to figure this stuff out on my own without a professor
anonymous
  • anonymous
a lot of work for 1 credit....
anonymous
  • anonymous
1 credit hour?
anonymous
  • anonymous
so I truly appreciate your help!
anonymous
  • anonymous
YES!
anonymous
  • anonymous
I don't think my uni has any 1 credit hour class
anonymous
  • anonymous
approved modules for financial aid purpose...doesn't count towards degree...go figure!
anonymous
  • anonymous
I remember some grad student in my physics, never knew why
anonymous
  • anonymous
so frustrating but can't afford to pay out of pocket right now
anonymous
  • anonymous
this is first and last semester taking this route...actually have 3 summer courses so don't have to worry about it then
anonymous
  • anonymous
you going for phd?
anonymous
  • anonymous
masters then maybe doctorate...
anonymous
  • anonymous
did you see last problem
anonymous
  • anonymous
Yea, working on it
anonymous
  • anonymous
are you doing by hand
anonymous
  • anonymous
most of it

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