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Linear difference equation (order two)

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    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
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    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.
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    (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
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    (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.
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    (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 y_{x+2} - y_{x+1} + \frac{1}{2} y_x? So if this is to equal 40, what must A be?

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