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Question 2: Following is an initial-value problem: y'=y-t,0sts 1, y(0) = 2; with N=5, h=0.2, and t = 0.21, for I = 0, 1, 2, 3, 4;

Question 2: Following is an initial-value problem: y'=y-t,0sts 1, y(0) = 2; with N=5, h=0.2, and t = 0.21, for I = 0, 1, 2, 3, 4;

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I want a solution in detail. Question 2: Following is an initial-value problem: y'=y-t,0st≤ 1, y(0) = 2; with N=5, h=0.2, and t = 0.21, for I = 0, 1, 2, 3, 4; a) Find approximate solutions using the Modified Euler's Method and compare these results with exact solutions from analytical solution y = t+1+e². b) Find approximate solutions using the Runge-Kutta method of order four and compare these results with exact solutions from analytical solution y=t+1+e'.
Transcribed Image Text:I want a solution in detail. Question 2: Following is an initial-value problem: y'=y-t,0st≤ 1, y(0) = 2; with N=5, h=0.2, and t = 0.21, for I = 0, 1, 2, 3, 4; a) Find approximate solutions using the Modified Euler's Method and compare these results with exact solutions from analytical solution y = t+1+e². b) Find approximate solutions using the Runge-Kutta method of order four and compare these results with exact solutions from analytical solution y=t+1+e'.
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