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Consider the following initial value problem. Answer parts (a) through (c) below. dy 9x +y = 0, y( – 1) = 4 dx Apply the initial condition to find the appropriate particular solution. y(x) = (b) Apply Euler's method with step size h = 0.15 to approximate this solution on the interval - 1SXS0.5. Note that, from these data alone, you might not suspect any difficulty near x = 0. The reason is that the numerical approximation "jumps across the discontinuity" to another solution of 9xy' + y = 0 for x> 0. (Do not round until the final answer. Then round to four decimal places as needed.)

Consider the following initial value problem. Answer parts (a) through (c) below. dy 9x +y = 0, y( – 1) = 4 dx Apply the initial condition to find the appropriate particular solution. y(x) = (b) Apply Euler's method with step size h = 0.15 to approximate this solution on the interval - 1SXS0.5. Note that, from these data alone, you might not suspect any difficulty near x = 0. The reason is that the numerical approximation "jumps across the discontinuity" to another solution of 9xy' + y = 0 for x> 0. (Do not round until the final answer. Then round to four decimal places as needed.)

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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Consider the following initial value problem. Answer parts (a) through (c) below. dy 9x +y = 0, y(- 1) = 4 .. Apply the initial condition to find the appropriate particular solution. y(x) = (b) Apply Euler's method with step size h= 0.15 to approximate this solution on the interval - 13xS0.5. Note that, from these data alone, you might not suspect any difficulty near x= 0. The reason is that the numerical approximation "jumps across the discontinuity" to another solution of 9xy' + y = 0 for x> 0. (Do not round until the final answer. Then round to four decimal places as needed.) Euler Approximation, h=0.15 - 1.00 4.0000 - 0.85
Transcribed Image Text:Consider the following initial value problem. Answer parts (a) through (c) below. dy 9x +y = 0, y(- 1) = 4 .. Apply the initial condition to find the appropriate particular solution. y(x) = (b) Apply Euler's method with step size h= 0.15 to approximate this solution on the interval - 13xS0.5. Note that, from these data alone, you might not suspect any difficulty near x= 0. The reason is that the numerical approximation "jumps across the discontinuity" to another solution of 9xy' + y = 0 for x> 0. (Do not round until the final answer. Then round to four decimal places as needed.) Euler Approximation, h=0.15 - 1.00 4.0000 - 0.85
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