Equivalence of difference equation with system of difference equations

1. How do you solve second-order difference equations?
2. How do you solve inhomogeneous difference equations?
3. What is a difference equation signals and systems?

How do you solve second-order difference equations?

y = e^rt (A cost+ B sint). These are the steps you need to know. For homogeneous second order differential equation, simply move to the auxiliary equation, find the value of lambda λ, write the solution of y and then find the constants using initial conditions if required.

How do you solve inhomogeneous difference equations?

Substitute yp(x) into the differential equation and equate like terms to find values for the unknown coefficients in yp(x). Add the general solution to the complementary equation and the particular solution you just found to obtain the general solution to the nonhomogeneous equation.

What is a difference equation signals and systems?

A difference equation is one of several tools for expressing the output of a linear time-invariant (LTI) system as a function of the input. Difference equations are widely used in computational applications to implement signal-processing algorithms.