I could'nt calculate the particular solution
I said
F(n) = B1*2n + B2*3n
and after the equation
B1 = 3
But there is no B2..
what should be f(n) ?
could you help me please ..
Thank you for all helps
I have another question ;
Solve the recurrence relation
an+2 - 6an+1 + 9an = 3*2n + 7*3n
where n>=0 and a0 = 1 a1 = 4
I think there are two path to solve this problem.
First path is find homogenous solution and the second is particular solution
So ;
In homog...
I found
r1 = -1 -i
r2 = -1 +i
an = K1 r1n + K2 r2n
I'm trying to find K1 and K2
a0 = 1 => K1 + K2 = 1
a1 = 3 => K1(-1-i) + K2(-1+i) = 3
Can you help me to find K1 and K2
The problem is ;
Solve the recurrence relation a n + 2a(n-1) + 2a(n-2) = 0 where n ≥ 2 and a0 = 1 a 1 = 3
I said;
a n = rn
and found this equation ;
r2 + 2r +2 = 0
I have to find r1 and r2 to write ;
K1r12 + K2r22 = a n
I know a0 and a 1 so i can find K1 and K2
But i have problem with...
How to solve recurrence relation ?
The Example is ;
Solve the recurrence relation a n + 2a n-1 + 2a n-2 = 0 where n ≥ 2 and a 0 = 1 a 1 = 3
a n = nth order
a n-1 = (n-1)th order.
a n-2 = (n-2)th order.
I've started the solving ;
a n = r^n
so
the equation will be ;
r^n + 2r^(n-1)...