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dx 7.11. Consider = t x, x(0) = 1. dt 11 (a) Use Euler's method with step sizes h = 1,4 to approximate x(1). (b) Solve the equation exactly. (c) Describe what happens to the errors for each h you used. That is, find the factor by which the error changed each time you halved the interval.

dx 7.11. Consider = t x, x(0) = 1. dt 11 (a) Use Euler's method with step sizes h = 1,4 to approximate x(1). (b) Solve the equation exactly. (c) Describe what happens to the errors for each h you used. That is, find the factor by which the error changed each time you halved the interval.

Calculus: Early Transcendentals
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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dx 7.11. Consider = t x, x(0) = 1. dt 11 (a) Use Euler's method with step sizes h = 1,4 to approximate x(1). (b) Solve the equation exactly. (c) Describe what happens to the errors for each h you used. That is, find the factor by which the error changed each time you halved the interval.
Transcribed Image Text:dx 7.11. Consider = t x, x(0) = 1. dt 11 (a) Use Euler's method with step sizes h = 1,4 to approximate x(1). (b) Solve the equation exactly. (c) Describe what happens to the errors for each h you used. That is, find the factor by which the error changed each time you halved the interval.
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