(adsbygoogle = window.adsbygoogle || []).push({}); Recurrence relation help

1. The problem statement, all variables and given/known data

x_{n+2}− 6x_{n+1}+ 8x_{n}= 2^{n}

Find the particular solution.

3. The attempt at a solution

I've tried "guessing" both x_{n}^{p}= (An + B)*2^{n}and = (An² + Bn + C)*2^{n}as a solution, but the calculations just don't add up and make sense.

Thanks in advance for any tips and/or hints.

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# Recurrence relation

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