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Linear difference equation (order two)

1. So far i have found a complementary solution

how do i find the particular solution

so that i can get the general solution which = particular + complementary solution

thanks
2. Finding the PI is basically guesswork.

For a first guess, a constant multiple of the RHS is usually a good guess. So here you would guess that the PI is a constant.
3. (Original post by DFranklin)
Finding the PI is basically guesswork.

For a first guess, a constant multiple of the RHS is usually a good guess. So here you would guess that the PI is a constant.
hmm still confused...
i dont think i quite understand what the particular solution is in this case
4. (Original post by The Mr Z)
This isn't a differential equation, it's a series equation.
As the OP says, this is an second order linear difference equation. They are solved using analogous methods to differential equations. And so...

There aren't complementary/particular solutions to be found.
Not true.
5. (Original post by Milan.)
hmm still confused...
i dont think i quite understand what the particular solution is in this case
If y_x = A (for all n), what is ? So if this is to equal 40, what must A be?

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Updated: April 5, 2012
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