Find the degree of the following Ihcc recurrences:1. ат — ап-2 +4am-з + 2an-62. аn5an-13. аn— ап-1 +ап-2 +an-34. аn= an-7 +7an-8

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Answered: Find the degree of the following Ihcc…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(a) Is the sequence {(-2)"} is a solution of the recurrence relation a, = -an-1 + 2a,-2? Show your work. (b) Is the sequence {n®2"} a solution of the recurrence relation a, = 2a,-1 – 4a,-2? Show your work. (c) Is the sequence {2(-4)" + 3} is a solution of the recurrence relation a, Aan-2?Show your work. -3an-1 +
Subject وع الدرس. Date: الموافق 2- solve the recurrence relation a-7an--49 -12a -2 n-3 with a= 2, a = 3 and a = 1. %3D 2.
Question 4 Suppose , a %3ба n - 1 — 11а n - 2 +ба +2-3". What is a п — 3 (h) = ? o C, 1" + C, 2" + C3 3" С, 17 + C, 2" + C337-2-37 C, 1" + C, n 2" + C, 3" C, 1" + C2 2" + C3 - 3"
Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = +2an-1-16an-2+32an-3 for n ≥ 3 with initial conditions ao = -13, a₁ = −30, a₂ = 148. The solution is of the form: an= (a + iß)(ir)" + (a-iß)(-ir)" +7s" for suitable integer constants a, B,y,r, s. Note that the variable r in this problem doesn't represent a characteristic value. Find these constants and enter their values: T= S= α = B= Y = The solution can also be written in piecewise form and purely in terms of real numbers: (C₁+Cs C₂+Cs C3+Cs C₁¹ +Gs an = for suitable real constants C₁, C₂, C3, C4, C5. Find these constants as well. C₁ = C₂ = C3 = C₁ = C5= for n mod 4 0 for n mod 4 1 for n mod 42 for n mod 4 = 3
Find the solution to each of these recurrence relations and initial conditions. (а) а, 3 Зап- 1, 0g — 2 (b) аn — Зап-1+1,a0 3D 1
Find the solution to the following Ihcc recurrence: 6an-1 + 7an–2 for n > 3 with initial conditions ao = 2, aj = -82. An = = -82. An =
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If xn+1 = 3xn is the recurrence equation for a sequence which begins with x0 = 2 then what is: x2= x3=
Write the characteristic equations for the following recurrence relations (a) an (b) an = 7an-2-6an-3; (c) an-an-1 + 5an-2 -3an-3. = -3an-1;
2. Solve these recurrence relations together with the initial conditions given. (а) ап 3 ап-1 + 6а,-2 for n 22, ао 3D 3, ај %3D 6 (b) а, — 7ал-1 — 10а, -2 for n > 2, ag 3D 2, ај 3 1 бал-1 — 8ап-2 for n > 2, ao %3 4, ај %—D 10 (c) an = аn-2 for n > 2, ао — 4, ај —D 1 (е) а, — а,-2 for n > 2, ag 3D 5, ај %3D -1 (f) а, — — 6ал -1 - 9ат-2 for n 22, ao %3D 3, ај 3D -3 (8) а,+2 3— 4a, +1 + 5а, for n 20, ag 3D 2, а, 3 8. (d) an = 2an-1 °
How do I find the refrence point for t = 3.2

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Find the degree of the following Ihcc recurrences: 1. аm — ап-2+ 4an-3 + 2an-6 %3D 2. аn 5an-1 3. ап — ап-1 +aп-2 + ап-3 4. an = an-7+7an-8