how can I solve difference equation with initial condition.

Consider a difference equation with its initial conditions.

5y(n)+y(n-1)-3y(n-2) = (1/5^n)u(n), n>=0 y(n-1) = 2, y(n-2) = 0

How can I determine y(n) in matlab?

Answer 1

[Matt J]

See the FILTER command

[Toral Panchal]

Using filter(b,a,X,zi)? but how to handle (1/5^n)?

[Matt J]

For example,

n=0:10;
X=(n>=0).*(1/5).^n;

[Toral Panchal]

Thank you