Question

Please help:
Solve the following difference equations subject to the specified x values when given, sketch the solutions.
\[x_n-5x_{n-1}+6x_{n-2}=0; x_0=2, x_1=5\]

Answer 1

You have the following indicial polynomial,
\[x^2-5x+6=0\]
which has roots \(x=-3\) and \(x=-2\). What would your general solution be then?