For a given function f(x), the divided-differences table is given by: Xo = -1 x₁ = 0 x₂ = 1 The values of a and b are: f[xo] = a f[x₂] = 3 f[x₂] = b O a=4 and b=-5 O a=7 and b=5 O a=-4 and b=6 O a=9 and b=7 f[x0, x₁] = c f[x₁, x₂] = 4 f[x0, x1, x₂] = 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For a given function f(x), the divided-differences table is given by:
Xo = -1
x₁ = 0
x₂ = 1
The values of a and b are:
f[xo] = a
f[x₁] = 3
f[x₂] = b
a=4 and b=-5
a=7 and b=5
a=-4 and b=6
a=9 and b=7
f[x0, x₁] = c
f[x₁, x₂] = 4
f[x0, x1, x₂] = 5
Transcribed Image Text:* For a given function f(x), the divided-differences table is given by: Xo = -1 x₁ = 0 x₂ = 1 The values of a and b are: f[xo] = a f[x₁] = 3 f[x₂] = b a=4 and b=-5 a=7 and b=5 a=-4 and b=6 a=9 and b=7 f[x0, x₁] = c f[x₁, x₂] = 4 f[x0, x1, x₂] = 5
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