The problem is this:
The impulse response of a system is the output from this system when excited by an input signal δ(k) that is zero everywhere, except at k = 0, where it is equal to 1. Using this definition and the general form of the solution of a difference equation, write the output of a linear system described by:
y(k) – 3y(k – 1) – 4y(k – 2) = δ(k) + 2δ(k – 1)
The initial conditions are: y(–2) = y(–1) = 0.
My question is: How can the particular solution be found using the method of undetermined coefficients if the non-homogeneous equation is also a difference equation?