Given the following set of discrete data: 1.3 1.4 1.5 1.6 1.7 1.8 y(x) 1.418 1.713 2.027 2.358 2.707 3.075 By taking h=0.1, find approximate value of y'(1.5) and y"(1.5) using all the appropriate formulas in Table 5.1. (a)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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numerical method

7.
Given the following set of discrete data:
1.3
1.4
1.5
1.6
1.7
1.8
y(x)
1.418
1.713
2.027
2.358
2.707
3.075
By taking h=0.1, find approximate value of y'(1.5) and y"(1.5)
using all the appropriate formulas in Table 5.1.
If h = 0.2 is taken to find approximate value of y'(1.5) and
y"(1.5), which formulas in Table 5.1 is not appropriate.
(а)
(b)
Transcribed Image Text:7. Given the following set of discrete data: 1.3 1.4 1.5 1.6 1.7 1.8 y(x) 1.418 1.713 2.027 2.358 2.707 3.075 By taking h=0.1, find approximate value of y'(1.5) and y"(1.5) using all the appropriate formulas in Table 5.1. If h = 0.2 is taken to find approximate value of y'(1.5) and y"(1.5), which formulas in Table 5.1 is not appropriate. (а) (b)
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