Solve the following inhomogeneous linear difference equation: Yk+3 + 5Yk+2 - 2Yk+1 - 6Yk = 32k + 6. Use Yk=Ak+b to solve for A and B.
So far I have followed my notes and have got
A(k+3)+B+5A(k+2)+5B+(-2)A(k+1)+(-2)B-6A(k)-6B=32k+6
then
Ak+3A+b+5Ak+1-A+5B-2Ak-2A-2B-6Ak-6B=32K=6
That is where my notes end for this. Exept we solve for the constant of K. How do I find A and B from here?