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Consider the differential equation dy x+2 with y(0) = 1 dx (a) Use the Euler's numerical formula to find the approximate value of y at x=0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. = (b) Use improved Euler's numerical formula to find the approximate value of y at x=0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. (c) Determine the solution of the given differential equation.

Consider the differential equation dy x+2 with y(0) = 1 dx (a) Use the Euler's numerical formula to find the approximate value of y at x=0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. = (b) Use improved Euler's numerical formula to find the approximate value of y at x=0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. (c) Determine the solution of the given differential equation.

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 differential equation dy x+2 with y(0) = 1 dx (a) Use the Euler's numerical formula to find the approximate value of y at x=0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. = (b) Use improved Euler's numerical formula to find the approximate value of y at x = 0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. (c) Determine the solution of the given differential equation. (d) Find the percentage error of the estimations at x= 0.4 both in (a) and (b). Make comments on your findings. Give your answer to 4 decimal places.
Transcribed Image Text:Consider the differential equation dy x+2 with y(0) = 1 dx (a) Use the Euler's numerical formula to find the approximate value of y at x=0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. = (b) Use improved Euler's numerical formula to find the approximate value of y at x = 0.1,0.2,0.3 and 0.4. Give your answer to 4 decimal places. (c) Determine the solution of the given differential equation. (d) Find the percentage error of the estimations at x= 0.4 both in (a) and (b). Make comments on your findings. Give your answer to 4 decimal places.
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