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I'm a bit rusty on difference eqns. Here's the problem:

[tex] y_n -0.5 y_{n-1} = x_n [/tex]

Here's what I can get out of it so far:

[tex] y_1 -0.5 y_0 = x_1 [/tex]

[tex] y_2 -0.5 y_1 = x_2 [/tex]

[tex] y_3 -0.5 y_2 = x_3 [/tex]

I just need some sense of direction, not a solution. It seems to me that this kind of problem requires that some boundary conditions be given, but that is not the case. That's all I have! Maybe it's something very simple I can't see right now.

Any help is highly appreciated.

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# Difference Equations

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