For the linear difference equation Uz + 10uz –1+ 36uj – 2 + 56u; – 3 + 32uz –4 = 0 with initial conditions uo 9, u1 = 18, uz = 60,uz = – 248 (1) Find ug = (2) Find an explicit (non-recursive) formula for the solution of the linear difference equation with the above given initial conditions. (3) Find u16 using the formula you found in the previous part. u16 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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For the linear difference equation
Uz + 10uz –1+ 36uz – 2 + 56uj – 3 + 32u; – 4 = 0
with initial conditions ug =
9, u1
18, и2 —
60,uz = - 248
(1) Find ug =
(2) Find an explicit (non-recursive) formula for the solution of the linear difference equation with the above
given initial conditions.
U; =
(3) Find u16 using the formula you found in the previous part.
u16 =
Transcribed Image Text:For the linear difference equation Uz + 10uz –1+ 36uz – 2 + 56uj – 3 + 32u; – 4 = 0 with initial conditions ug = 9, u1 18, и2 — 60,uz = - 248 (1) Find ug = (2) Find an explicit (non-recursive) formula for the solution of the linear difference equation with the above given initial conditions. U; = (3) Find u16 using the formula you found in the previous part. u16 =
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