to the Newton form N,(x) = a, +a,(x-x)+a,(x-x,)(x-x)++ (2.4.1) (x-x)..(x-x)"D an n fend a interpolating fat X, x, and a, = [x,Xx,]. Hence N,(x) f(x,)+/Ixp, J(x-x,)+ StXoX](x-x,X(x-x)++ (2.4.4) We call N (x) Newton interpolation polynomial. Please write the steps.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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to the Newton form
N,(x) = a, +a,(x-x,)+a,(x-x,)(x-x) ++
(2.4.1)
a,(x-x)(x-x)
Laq
el v . u
*** gvn ..
interpolating fat X ,x, and a, = f[xg,X;,*,x,]- Hence
N,(x) = f(x,) /lx. X, (x- x,)+
%3D
(2.4.4)
We call N,(x) Newton interpolation polynomial.
Please write the steps.
Transcribed Image Text:to the Newton form N,(x) = a, +a,(x-x,)+a,(x-x,)(x-x) ++ (2.4.1) a,(x-x)(x-x) Laq el v . u *** gvn .. interpolating fat X ,x, and a, = f[xg,X;,*,x,]- Hence N,(x) = f(x,) /lx. X, (x- x,)+ %3D (2.4.4) We call N,(x) Newton interpolation polynomial. Please write the steps.
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