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Find solutions to the following difference equations: • xn+2 − 4xn = 27n 2 , x0...

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Advance Math

Find solutions to the following difference equations:

• xn+2 − 4xn = 27n 2 , x0 = 1, x1 = 3

• xn+1 − 4xn + 3xn−1 = 36n 2 , x0 = 12, x1 = 0

• xn+1 − 4xn + 3xn−1 = 3n , x0 = 2, x1 = 13/2

• xn+2 − 2xn+1 + xn = 1, x0 = 3, x1 = 6

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