solving the determine blue in the same way of the determine green U8n-6 U8n-10U8n-4U8n-6 + Ugn–8 +U8n-8-U8n–10 e2n cnU8n-5 =n-'(c – e)"(a – c)nan-U8n-4 =bn-1 (d – f)"(b – d)"'cn+1e2nU8n-3 =a" (a – c)"(c – e)ndn+1 f2nbr (b – d)"(d – f)r'e2n+1cnU8n-2 =U8n-1 =a" (a – c)"(c – e)" 'f2n+1 d"br (b – d)"(d – f)n 'cn+1e2n+1U8n =U8n+1 =a" (c – e)*(a – c)-+I?dn+1 f2n+1b* (d – f)"(b – d)n+1*U8n+2 =This work aims to investigate the equilibria, local stability, global attractivityand the exact solutions of the following difference equationsBun-1un-5Un+1 = QUn-1+n = 0,1, ...,(1)Yun-3 - bun-5'Bun-1un-5run-3 + bun-5where the coefficients a, B, y, and o are positive real numbers and the initial con-ditions u; for all i = -5, -4, .., 0, are arbitrary non-zero real numbers. We alsoUn+1 = aUn-1-, n=0,1, ..,(2)present the numerical solutions via some 2D graphs.2. ON THE EQUATION Un+1 = QUn-1+Bun-1un-sYun-3-bun-sThis section is devoted to study the qualitative behaviors of Eq. (1). Theequilibrium point of Eq. (1) is given byUn-1Un-5Un+1 = Un-1+n= 0, 1, ...,(10)Un-3 - Un-5d" f2n-2-1(6 – d)n-1(d – f)n-1'e2n-1n-1U8n-10 =bn-1U8n-9 =an-1(a – c)n-1(c - e)n-1'f2n-1an-1bn-1 (b – d)n-1(d – f)n-1’c"e2n-1U8n-8 =U8n-7 = -an-1(c – e)n-1(a – c)n'd" fan-1bn-1(d – f)n-1(b – d)m*U8n-6 =Moreover, it can be seen from Eq. (10) thatU8n-6U8n-10U8n-4 = U8n–6 +U8n-8 - U8n–10d" f2n-1bn-1(d-f)n-1(b-d)n bn-1(6-d)n-1(d-f)n-If2n-1dn-1d" f2n-2d" f2n-1br-1(d – f)"-1(b – d)"dn f2n-2bn-1(b-d)n-1(d-f)n-Tbn-1(b-d)n-T(d-f)n-Td" f2n-1b2-1(d – f)n-1(b – d)" bn-1(d – f)n-1(b – d)" (à – })d" f2n-2d" f2n-1bn-1(d – f)n-1(b - d)" ™ br-1(d – f)"(b – d)ndn+1 f2n-1= -+br-1(d – f)"(b – d)n"

Question

solving the determine blue in the same way of the determine green U8n-6 U8n-10U8n-4U8n-6 + Ugn–8 +U8n-8-U8n–10 e2n cnU8n-5 =n-'(c – e)&#34;(a – c)nan-U8n-4 =bn-1 (d – f)&#34;(b – d)&#34;'cn+1e2nU8n-3 =a&#34; (a – c)&#34;(c – e)ndn+1 f2nbr (b – d)&#34;(d – f)r'e2n+1cnU8n-2 =U8n-1 =a&#34; (a – c)&#34;(c – e)&#34; 'f2n+1 d&#34;br (b – d)&#34;(d – f)n 'cn+1e2n+1U8n =U8n+1 =a&#34; (c – e)*(a – c)-+I?dn+1 f2n+1b* (d – f)&#34;(b – d)n+1*U8n+2 =This work aims to investigate the equilibria, local stability, global attractivityand the exact solutions of the following difference equationsBun-1un-5Un+1 = QUn-1+n = 0,1, ...,(1)Yun-3 - bun-5'Bun-1un-5run-3 + bun-5where the coefficients a, B, y, and o are positive real numbers and the initial con-ditions u; for all i = -5, -4, .., 0, are arbitrary non-zero real numbers. We alsoUn+1 = aUn-1-, n=0,1, ..,(2)present the numerical solutions via some 2D graphs.2. ON THE EQUATION Un+1 = QUn-1+Bun-1un-sYun-3-bun-sThis section is devoted to study the qualitative behaviors of Eq. (1). Theequilibrium point of Eq. (1) is given byUn-1Un-5Un+1 = Un-1+n= 0, 1, ...,(10)Un-3 - Un-5d&#34; f2n-2-1(6 – d)n-1(d – f)n-1'e2n-1n-1U8n-10 =bn-1U8n-9 =an-1(a – c)n-1(c - e)n-1'f2n-1an-1bn-1 (b – d)n-1(d – f)n-1’c&#34;e2n-1U8n-8 =U8n-7 = -an-1(c – e)n-1(a – c)n'd&#34; fan-1bn-1(d – f)n-1(b – d)m*U8n-6 =Moreover, it can be seen from Eq. (10) thatU8n-6U8n-10U8n-4 = U8n–6 +U8n-8 - U8n–10d&#34; f2n-1bn-1(d-f)n-1(b-d)n bn-1(6-d)n-1(d-f)n-If2n-1dn-1d&#34; f2n-2d&#34; f2n-1br-1(d – f)&#34;-1(b – d)&#34;dn f2n-2bn-1(b-d)n-1(d-f)n-Tbn-1(b-d)n-T(d-f)n-Td&#34; f2n-1b2-1(d – f)n-1(b – d)&#34; bn-1(d – f)n-1(b – d)&#34; (à – })d&#34; f2n-2d&#34; f2n-1bn-1(d – f)n-1(b - d)&#34; ™ br-1(d – f)&#34;(b – d)ndn+1 f2n-1= -+br-1(d – f)&#34;(b – d)n&#34;

Accepted Answer

To determine:
u8n−4=u8n−6+u8n−8+u8n−6⋅u8n−10u8n−8−u8n−10