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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

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)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,