Solving the determine yellow in the same way of the determine red e2n cnU8n-5 =a"-1(c – e)"(a – c)n 'U8n-4 =ba-1(d – f)"(b – d)n'cn+le2nU8n-3 =a"(a – c)"(c – e)n'dn+1 f2nb (b – d)"(d – f)n'e2n+1cnU8n-2 =-U8n-1 =a" (a – c)"(c – e)nf2n+1 d"br (b – d)"(d – f)r?cn+1e2n+1U8n =U8n+1a"(c – e)"(a – c)"n+1?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-5Yun-3 - bun-5Un+1 = aun-1+n = 0,1, ...,(1)Bun-14n-5Yun-3 + đun-5where the coefficients a, B, y, and 6 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 u,n+1 =Qun-1+ Bun-1un-syun-3-bun-5This 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-2bn-1(b – d)n-1(d – f)n-1'e2n-1cn-1U8n-10 =U8n-9 =2-1(a – c)²-1(c – e)n–1'f2n-1an-1bn-1(b – d)n-1(d – f)n-1’U8n-8 =c"e2n-1U8n-7 =an-1(c – e)n-1(a – c)n'd" f2n-1bn-1 (d – f)n-1(b – d) *U8n-6 = -Furthermore, Eq. (10) gives usU8n-5U8n-9U8n-3 = U8n-5 +U8n-7U8n-9e2n-1n-1e2n ca"-1(c – e)"(a – c)"an-(c-e)"(a-c)n an-1(a-c)n-1(c-e)n-rc" e2n-1an-1(c-e)"-'(a-c)"e2n-1cn-1an-1(a-c)n-1(c-e)n-Ie2n cn1(c – e)*(a – c) a"(c– e)"(a – c)n-1e2n c"an-1аa -%3D(c - e)" (a – c)"e2n n+1anan%3Dа" (с- е)" (а — с)п" U8n-5 U8n-9U8n-3 =U8n-5 + U8n–7 +U8n-7-U8n-9Dvol

Question

Solving the determine yellow in the same way of the determine red e2n cnU8n-5 =a&#34;-1(c – e)&#34;(a – c)n 'U8n-4 =ba-1(d – f)&#34;(b – d)n'cn+le2nU8n-3 =a&#34;(a – c)&#34;(c – e)n'dn+1 f2nb (b – d)&#34;(d – f)n'e2n+1cnU8n-2 =-U8n-1 =a&#34; (a – c)&#34;(c – e)nf2n+1 d&#34;br (b – d)&#34;(d – f)r?cn+1e2n+1U8n =U8n+1a&#34;(c – e)&#34;(a – c)&#34;n+1?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-5Yun-3 - bun-5Un+1 = aun-1+n = 0,1, ...,(1)Bun-14n-5Yun-3 + đun-5where the coefficients a, B, y, and 6 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 u,n+1 =Qun-1+ Bun-1un-syun-3-bun-5This 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-2bn-1(b – d)n-1(d – f)n-1'e2n-1cn-1U8n-10 =U8n-9 =2-1(a – c)²-1(c – e)n–1'f2n-1an-1bn-1(b – d)n-1(d – f)n-1’U8n-8 =c&#34;e2n-1U8n-7 =an-1(c – e)n-1(a – c)n'd&#34; f2n-1bn-1 (d – f)n-1(b – d) *U8n-6 = -Furthermore, Eq. (10) gives usU8n-5U8n-9U8n-3 = U8n-5 +U8n-7U8n-9e2n-1n-1e2n ca&#34;-1(c – e)&#34;(a – c)&#34;an-(c-e)&#34;(a-c)n an-1(a-c)n-1(c-e)n-rc&#34; e2n-1an-1(c-e)&#34;-'(a-c)&#34;e2n-1cn-1an-1(a-c)n-1(c-e)n-Ie2n cn1(c – e)*(a – c) a&#34;(c– e)&#34;(a – c)n-1e2n c&#34;an-1аa -%3D(c - e)&#34; (a – c)&#34;e2n n+1anan%3Dа&#34; (с- е)&#34; (а — с)п&#34; U8n-5 U8n-9U8n-3 =U8n-5 + U8n–7 +U8n-7-U8n-9Dvol

Accepted Answer

To solve the below expression for u8n-3.
u8n−3=u8n−5+u8n−7+u8n−5u8n−9u8n−7−u8n−9