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In the initial value problem, use Euler's method with step sizes h=0.1, 0.02, 0.004, and 0.0008 to approximate to four decimal places the values of the solution at ten equally spaced points of the given interval. Make a table showing the approximate values. y' = x + 4 y, y(0) = 5, 0Sx$2 (Do not round until the final answer. Then round to four decimal places as needed.) 0.4 0.2 0.6 0.8 1.2 1.4 1.6 1.8 2 Euler Approximation, h=0.1

In the initial value problem, use Euler's method with step sizes h=0.1, 0.02, 0.004, and 0.0008 to approximate to four decimal places the values of the solution at ten equally spaced points of the given interval. Make a table showing the approximate values. y' = x + 4 y, y(0) = 5, 0Sx$2 (Do not round until the final answer. Then round to four decimal places as needed.) 0.4 0.2 0.6 0.8 1.2 1.4 1.6 1.8 2 Euler Approximation, h=0.1

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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In the initial value problem, use Euler's method with step sizes h = 0.1, 0.02, 0.004, and 0.0008 to approximate to four decimal places the values of the solution at ten equally spaced points of the given interval. Make a table showing the approximate values. y' =x+4y, y(0) = 5, 0 Sx<2 (Do not round until the final answer. Then round to four decimal places as needed.) 0.4 0.8 0.2 0.6 1.2 1.4 1.6 1.8 2 Euler Approximation, h= 0.1
Transcribed Image Text:In the initial value problem, use Euler's method with step sizes h = 0.1, 0.02, 0.004, and 0.0008 to approximate to four decimal places the values of the solution at ten equally spaced points of the given interval. Make a table showing the approximate values. y' =x+4y, y(0) = 5, 0 Sx<2 (Do not round until the final answer. Then round to four decimal places as needed.) 0.4 0.8 0.2 0.6 1.2 1.4 1.6 1.8 2 Euler Approximation, h= 0.1
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