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 ☐ ☐ ☐ ☐ ☐ ☐
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
Question
![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
☐
☐
☐
☐
☐
☐](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2F55dfce09-e004-4300-be43-82c42356505f%2F7f3u1ks_processed.png&w=3840&q=75)
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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