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The particular solution of the second-order difference equation
yn+2 - 6yn+1 + 8yn = 0 n 2
subject to the initial conditions y0 = 3 and y1 = 2may be written in the form
yn = A(2n) + B(4n) n 0.
Determine the values of (A, B).
Consider the function f(x) = x2-6x+20. This function has a stationary point at x = 3.
Determine the nature of this stationary point and how do we know this to be true.
