Consider the information below together with the table. Yi+1 - Yi-1 -Yi+2 + 4yi+1 – 3y; Yi-2 – 4yi–1 +3y; y = 2h 2h 2h i 2 3 4 5 1.45 1.6 Yi 0 0.10 0.20 0.30 0.48 0.68 Given that the initial value of x is one, and that the first four nodes are equally spaced by 0.1 unit, fill-in the missing seven entries of the table. Show all solutions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 43EQ
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Consider the information below together with the table.
-Yi+2 + 4yi+1 – 3y;
Yi-2 – 4yi–1 +3y;
y =
Yi+1 – Yi–1
2h
2h
2h
i
1
3
4
1.45
1.6
Yi
0 0.10
0.20
0.30
0.48
0.68
Given that the initial value of x is one, and that the first four nodes are equally spaced
by 0.1 unit, fill-in the missing seven entries of the table. Show all solutions.
Transcribed Image Text:Consider the information below together with the table. -Yi+2 + 4yi+1 – 3y; Yi-2 – 4yi–1 +3y; y = Yi+1 – Yi–1 2h 2h 2h i 1 3 4 1.45 1.6 Yi 0 0.10 0.20 0.30 0.48 0.68 Given that the initial value of x is one, and that the first four nodes are equally spaced by 0.1 unit, fill-in the missing seven entries of the table. Show all solutions.
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