Help with Graphing Difference Equations

I'm trying to graph these and a hint was given to use the power and semilogy functions. General advice or help with a) would be appreciated!

[Davide Masiello]

Hi @McKenna Mason, it is costumary on this forum that you share your attempt at coming up with a code.

[McKenna Mason]

@Davide Masiello Ah okay my bad! I didn't initially share it because even after some google searches I wasn't sure where to start

I haven't included initials or coefficients yet either

Answer 1

[Davide Masiello]

n = 10;
x = zeros(1,10);
x(1) = 2;
x(2) = 5;

for idx = 3:n
    x(idx) = 5*x(idx-1)-6*x(idx-2);
end

semilogy(1:n,x)

Answer 2

[Torsten]

syms x n a b
f = x^2-5*x+6;
xsol = solve(f==0);
y = a*xsol(1)^n + b*xsol(2)^n

y = 

csol = solve([subs(y,n,0)==2,subs(y,n,1)==5],[a,b])

csol = struct with fields:
    a: 1
    b: 1

y = subs(y,[a,b],[csol.a,csol.b])

y = 

simplify(subs(y,n,n)-5*subs(y,n,n-1)+6*subs(y,n,n-2))

ans = 

0