Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![The classical fourth-order Runge-Kutta method is used to solve the following initial-value
problem over the interval [0, 0.6]:
- = 3'(20– y), y(0) = 12
The global error at x = 0.6 takes the following values for h < 0.05:
Global error
0.05
|-0.000 017
0.025
|-0.000 001
0.0125
|-0.000 000
Note: the table can be obtained by using a computer software to implement the Runge-
Kutta method.
Use the table of global errors to estimate the form of global error at x = 0.6 for sufficiently
small values of h.
Your answer should be of the form ah4.
Hence enter the value of a to 1 decimal place.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe57b544b-88d5-4f7a-b1dd-b80123f2a535%2F676e7fa3-746f-478a-a7f1-c1cb222c1dd0%2Fr8menc_processed.png&w=3840&q=75)
Transcribed Image Text:The classical fourth-order Runge-Kutta method is used to solve the following initial-value
problem over the interval [0, 0.6]:
- = 3'(20– y), y(0) = 12
The global error at x = 0.6 takes the following values for h < 0.05:
Global error
0.05
|-0.000 017
0.025
|-0.000 001
0.0125
|-0.000 000
Note: the table can be obtained by using a computer software to implement the Runge-
Kutta method.
Use the table of global errors to estimate the form of global error at x = 0.6 for sufficiently
small values of h.
Your answer should be of the form ah4.
Hence enter the value of a to 1 decimal place.
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