1) 1 3 f(x,) 3 6 11 Find the value of x for y=5 using divided differences table for the data. 2. 2.

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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1)
1
0 3
f(x)
3
6.
2
11
Find the value of x for y=5 using divided differences table for the data.
Transcribed Image Text:1) 1 0 3 f(x) 3 6. 2 11 Find the value of x for y=5 using divided differences table for the data.
Expert Solution
Step 1

We have :

xk 1 2 0 3
fxk 3 6 2 11

This can be written as:

xk x0=0 x1=1 x2=2 x3=3
fxk fx0=2 fx1=3 fx2=6 fx3=11

 

Now, the formula for the divided difference is:

y=fx=fx0+x-x0fx0, x1+x-x0x-x1fx0, x1, x2+x-x0x-x1x-x2fx0, x1, x2,x3

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