Show me the steps of determine yellow and all information is here Furthermore, Eq. (10) gives usU8n-5U8n-9U8n-3 = U8n-5 +U8n-7 - U8n-92n „ne2n-1n-1e2n cnan-1(c-e)"(a-c)" an-1(a-c)n–1(c-e)n-Icne2n-1aп-1(с — е)т (а — с)"e2n–1 cn-1an-1(a-c)n-1 (c-e)n-Ian-1(c-e)n-1(a-c)"e2n cne2n cnат-1(с — е)" (а — с)пe2n cna" (с — е)"(а — с)"-1aа — с(с — е)"(а — с)"e2n cn+1а" (с — е)"(а — с)пanan%3DAlso, Eq. (10) leads toU8n-4u8n-8U8n-2 = Ug8n-4 +U8n-6 - U8n-8f2n dnbn-1(d – f)"(b – d)nf2n-1 an-1bn-1 (d-f)" (b-d)n bn-1(b-d)n–1(d-f)n-If2n-1 dn-1bn-1 (b-d)n-1(d-f)n-Idn f2n-1bn–1 (d-f)n-1(b-d)nf2m dnbn-1(d – f)"(b – d)"f2n dnb" (d – f)"(b – d)"f2n dnbr (d – f)"(b – d)n-11(b – d)-1f2n ɑn+1b" (d – f)" (b – d)"Moreover, Eq. (10) givesU8n-3u8n-7U8n-1 = U8n-3 +U8n-5 - U8n-7cn+1,2na" (a-c)"(c-e)"c"2n-1an-1(c-e)n-1(a-c)"cn+1_2nа" (а — с)"(с — е)тc"e2n-1an-1(c-e)n-(a-c)ne2n cnan-1(c-e)" (a-c)"cn+1e2nc"e2nа" (а — с)" (с — е)тa"(с — е)п-1(а — с)" (1 + е)cn+1e2nc"e2nа" (а — с)"(с — е)"а"(с — е)"-1(а — с)"c"e2n+1а" (а — с)"(с — е)""Finally, Eq. (10) gives This work aims to investigate the equilibria, local stability, global attractivityand the exact solutions of the following difference equationsBun-1un-5Un+1 = aUn-1+n = 0,1, ..,(1)YUn-3 - dun-5'Bun-1un-5Un+1 = aUn-1-n = 0,1, ..,(2)YUn-3 + dun-5'where the coefficients a, B, y, and & are positive real numbers and the initial con-ditions ui for all i = -5, -4, .., 0, are arbitrary non-zero real numbers. We alsopresent the numerical solutions via some 2D graphs.2. ON THE EQUATION Un+1 = aUn-1 +Bun-1un-5Yun-3-dun-5(1). TheThis section is devoted to study the qualitative behaviors of Eq.equilibrium point of Eq. (1) is given by6. EXACT SOLUTION OF EQ. (1) WHEN a =B=y= 8 = 1In this section, we investigate the exact solutions of the following rational differ-ence equationUn-1un-5Иn+1 — ит-1 +n = 0, 1, ...,(10)Un-3 - Un-5where the initial conditions are positive real numbers.Theorem 5 Let {un}n=-5be a solution to Eq. (10) and suppose that u-5 =d, u-1 = e, uo = f. Then, for n = 0, 1,2, .., theа, и-4 — б, и_з — с, и-2 —solutions of Eq. (10) are given by the following formulas:e2n c"U8n-5 =(c- e)"(a – c)n'f2n d"bn-1(d - f)"(b– d)n'cn+le2nn-1U8n-4 =U8n-3 =a" (a – c)" (c – e)"'dn+1 f2nb" (b – d)" (d- f)"'e2n+1cnU8n-2 =U8n-1 =a" (a – c)"(c – e)* 'f2n+1gnbr (b – d)"(d – f)"'cn+1 e2n+1U8nU8n+1a" (c - e)" (a – c)n+1dn+1 f2n+1b" (d – f)"(b – d)n+1*U8n+2 =Proof.It can be easily observed that the solutions are true for n = 0. We nowassume that n 0 and that our assumption holds for n – 1. That is,e2n-2 cn-1n-2(c – e)n-1(a – c)n-1'f2n-2 an-1b2-2 (d – f)n-1(b – d)a-I?U8n-13 =U8n-12 =c"e2n-2U8n-11n-1(a - c)a-1(c – e)n–1'an-1

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Show me the steps of determine yellow and all information is here Furthermore, Eq. (10) gives usU8n-5U8n-9U8n-3 = U8n-5 +U8n-7 - U8n-92n „ne2n-1n-1e2n cnan-1(c-e)&#34;(a-c)&#34; an-1(a-c)n–1(c-e)n-Icne2n-1aп-1(с — е)т (а — с)&#34;e2n–1 cn-1an-1(a-c)n-1 (c-e)n-Ian-1(c-e)n-1(a-c)&#34;e2n cne2n cnат-1(с — е)&#34; (а — с)пe2n cna&#34; (с — е)&#34;(а — с)&#34;-1aа — с(с — е)&#34;(а — с)&#34;e2n cn+1а&#34; (с — е)&#34;(а — с)пanan%3DAlso, Eq. (10) leads toU8n-4u8n-8U8n-2 = Ug8n-4 +U8n-6 - U8n-8f2n dnbn-1(d – f)&#34;(b – d)nf2n-1 an-1bn-1 (d-f)&#34; (b-d)n bn-1(b-d)n–1(d-f)n-If2n-1 dn-1bn-1 (b-d)n-1(d-f)n-Idn f2n-1bn–1 (d-f)n-1(b-d)nf2m dnbn-1(d – f)&#34;(b – d)&#34;f2n dnb&#34; (d – f)&#34;(b – d)&#34;f2n dnbr (d – f)&#34;(b – d)n-11(b – d)-1f2n ɑn+1b&#34; (d – f)&#34; (b – d)&#34;Moreover, Eq. (10) givesU8n-3u8n-7U8n-1 = U8n-3 +U8n-5 - U8n-7cn+1,2na&#34; (a-c)&#34;(c-e)&#34;c&#34;2n-1an-1(c-e)n-1(a-c)&#34;cn+1_2nа&#34; (а — с)&#34;(с — е)тc&#34;e2n-1an-1(c-e)n-(a-c)ne2n cnan-1(c-e)&#34; (a-c)&#34;cn+1e2nc&#34;e2nа&#34; (а — с)&#34; (с — е)тa&#34;(с — е)п-1(а — с)&#34; (1 + е)cn+1e2nc&#34;e2nа&#34; (а — с)&#34;(с — е)&#34;а&#34;(с — е)&#34;-1(а — с)&#34;c&#34;e2n+1а&#34; (а — с)&#34;(с — е)&#34;&#34;Finally, Eq. (10) gives This work aims to investigate the equilibria, local stability, global attractivityand the exact solutions of the following difference equationsBun-1un-5Un+1 = aUn-1+n = 0,1, ..,(1)YUn-3 - dun-5'Bun-1un-5Un+1 = aUn-1-n = 0,1, ..,(2)YUn-3 + dun-5'where the coefficients a, B, y, and & are positive real numbers and the initial con-ditions ui for all i = -5, -4, .., 0, are arbitrary non-zero real numbers. We alsopresent the numerical solutions via some 2D graphs.2. ON THE EQUATION Un+1 = aUn-1 +Bun-1un-5Yun-3-dun-5(1). TheThis section is devoted to study the qualitative behaviors of Eq.equilibrium point of Eq. (1) is given by6. EXACT SOLUTION OF EQ. (1) WHEN a =B=y= 8 = 1In this section, we investigate the exact solutions of the following rational differ-ence equationUn-1un-5Иn+1 — ит-1 +n = 0, 1, ...,(10)Un-3 - Un-5where the initial conditions are positive real numbers.Theorem 5 Let {un}n=-5be a solution to Eq. (10) and suppose that u-5 =d, u-1 = e, uo = f. Then, for n = 0, 1,2, .., theа, и-4 — б, и_з — с, и-2 —solutions of Eq. (10) are given by the following formulas:e2n c&#34;U8n-5 =(c- e)&#34;(a – c)n'f2n d&#34;bn-1(d - f)&#34;(b– d)n'cn+le2nn-1U8n-4 =U8n-3 =a&#34; (a – c)&#34; (c – e)&#34;'dn+1 f2nb&#34; (b – d)&#34; (d- f)&#34;'e2n+1cnU8n-2 =U8n-1 =a&#34; (a – c)&#34;(c – e)* 'f2n+1gnbr (b – d)&#34;(d – f)&#34;'cn+1 e2n+1U8nU8n+1a&#34; (c - e)&#34; (a – c)n+1>dn+1 f2n+1b&#34; (d – f)&#34;(b – d)n+1*U8n+2 =Proof.It can be easily observed that the solutions are true for n = 0. We nowassume that n > 0 and that our assumption holds for n – 1. That is,e2n-2 cn-1n-2(c – e)n-1(a – c)n-1'f2n-2 an-1b2-2 (d – f)n-1(b – d)a-I?U8n-13 =U8n-12 =c&#34;e2n-2U8n-11n-1(a - c)a-1(c – e)n–1'an-1

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To explain the given problem in detailed steps.