solution of the difference equation p(n)=-4p(n-1)+5p(n-2)

Question : Find solution of the difference equation p(n)=-4p(n-1)+5p(n-2)Solution :Given homogeneous linear difference equation \[ p_0=2,\ p_1=4,\] \[ p_n=-{4p}_{n-1}+5p_{n-2},\ \ n\geq2 \] or \[p_n+4p_{n-1}-5p_{n-2}=0\] (1) Replacing n by n+2 and taking n = 0, 1, 2, 3, 4, 5,…. \[p_{n+2}+4p_{n+1}-5p_n=0…

This Question has been answered. 

Please Subscribe to See Answer or To Get Homework Help