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i) Derive the general solution of the following linear nonhomogeneous difference equation in real form, and then find the particular solution. Note that n =

i) Derive the general solution of the following linear nonhomogeneous difference equation in real form, and then find the particular solution. Note that n = 0, 1, 2, ...

y_n+2 + 4y_n+1 + 5y_n = (-1)ⁿ, y₀ = 2; y₁ = -1.

ii) Plot the solution in MATLAB.

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