Find the general solution of the following diference equations: (а) 1 Xn+1 – 4xn + 3xn-1 0, 1, ...; n = n + 1 (b) - 4xn + 4xn-1 = Vn, n = 0, 1, ...; Xn+1
Find the general solution of the following diference equations: (а) 1 Xn+1 – 4xn + 3xn-1 0, 1, ...; n = n + 1 (b) - 4xn + 4xn-1 = Vn, n = 0, 1, ...; Xn+1
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Transcribed Image Text:Find the general solution of the following diference equations:
(а)
Xn+1
4xn + 3xn-1 =
= 0, 1, ...;
n =
n +1'
(b)
- 4xn + 4xn-1
Vn, n = 0,1, ..;
Xn+1
-
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