Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2010-03-29 09:58:27

White_Owl
Member
Registered: 2010-03-03
Posts: 106

non-homogeneous recurrence with a constant for F(n)

If I have a non-homogeneous recurrence with a constant for F(n):


The associated homogeneous solution is

But what is the 'particular' solution?

If I try to calculate particular solution through

, I am getting:

And at the end I receive:

Which is obviously not a correct answer...
What am I doing wrong?

Offline

#2 2010-03-29 10:12:04

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: non-homogeneous recurrence with a constant for F(n)

I'd do this by listing the first few terms and spotting the pattern.


Why did the vector cross the road?
It wanted to be normal.

Offline

#3 2010-03-30 01:57:40

White_Owl
Member
Registered: 2010-03-03
Posts: 106

Re: non-homogeneous recurrence with a constant for F(n)

Thank you.
Got it.
I think...

Offline

Board footer

Powered by FluxBB