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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+2√y, y(0) = 1,0≤x≤2 1.2 1.4 1.6 1.8 2 ☐ ☐ ☐ ☐ ☐ (Do not round until the final answer. Then round to four decimal places as needed.) X 0 0.2 ☐ 0.4 0.6 0.8 1 ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ Euler Approximation, h = 0.1 Euler Approximation, h = 0.02 Euler Approximation, h = 0.004 Euler Approximation, h = 0.0008 П ☐ ☐ ☐ ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ П ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ ☐ ☐

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+2√y, y(0) = 1,0≤x≤2 1.2 1.4 1.6 1.8 2 ☐ ☐ ☐ ☐ ☐ (Do not round until the final answer. Then round to four decimal places as needed.) X 0 0.2 ☐ 0.4 0.6 0.8 1 ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ Euler Approximation, h = 0.1 Euler Approximation, h = 0.02 Euler Approximation, h = 0.004 Euler Approximation, h = 0.0008 П ☐ ☐ ☐ ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ П ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ ☐ ☐

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+2√y, y(0) = 1,0≤x≤2 1.2 1.4 1.6 1.8 2 ☐ ☐ ☐ ☐ ☐ (Do not round until the final answer. Then round to four decimal places as needed.) X 0 0.2 ☐ 0.4 0.6 0.8 1 ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ Euler Approximation, h = 0.1 Euler Approximation, h = 0.02 Euler Approximation, h = 0.004 Euler Approximation, h = 0.0008 П ☐ ☐ ☐ ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ П ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ ☐ ☐
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+2√y, y(0) = 1,0≤x≤2 1.2 1.4 1.6 1.8 2 ☐ ☐ ☐ ☐ ☐ (Do not round until the final answer. Then round to four decimal places as needed.) X 0 0.2 ☐ 0.4 0.6 0.8 1 ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ ☐ Euler Approximation, h = 0.1 Euler Approximation, h = 0.02 Euler Approximation, h = 0.004 Euler Approximation, h = 0.0008 П ☐ ☐ ☐ ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ П ☐ ☐ ☐ ப ☐ ☐ ☐ ☐ ☐ ☐
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