X 0 1 2 Y2(x)= y 1 3 0 (x-x1)(x-x2) (x0-x1)(x0-x2) f(x0) + (x-x0)(x-x2) (x1-x0)(x1-x2) f(x1)+ (x-x0)(x-x1) (x2-x0)(x2-x1) f(x2)

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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Question
Find the equation for these given values ​​and then you should look for y =? when x=-2
X
0
1
2
Y2(x) =
y
1
3
0
(x-x1)(x-x2)
(x0-x1)(x0-x2)
f(x0) +
(x-x0)(x-x2)
(x1-x0)(x1-x2)
f(x1)+
(x-x0)(x-x1)
(x2-x0)(x2-x1).
f(x2)
Transcribed Image Text:X 0 1 2 Y2(x) = y 1 3 0 (x-x1)(x-x2) (x0-x1)(x0-x2) f(x0) + (x-x0)(x-x2) (x1-x0)(x1-x2) f(x1)+ (x-x0)(x-x1) (x2-x0)(x2-x1). f(x2)
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