Question: The function y t +1 -y t =(-1) t where initial condition y 0 = 1, is a first order difference equation. Find out solution

The function y_t₊₁-y_t=(-1)^twhere initial condition y₀= 1, is a first order difference equation. Find out solution to the homogeneous equation, then find out a particular solution for the function with the method of undetermined coefficients.

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