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 equaly spaced points of the given interval. Make a table showing the approximate values. y =x+3y, y(0)=1, 05x52 (Do not round unti the final answer. Then round to four decimal places as needed.) 0.2 0.4 0.6 0.8 1 1.2 14 1.6 1.8 2 Euler Approximation, h=0.1 Euler Approximation, h=0.02 Euler Approximation, h=0.004 Euler Approximation, h=0.0008 OOO O O
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 equaly spaced points of the given interval. Make a table showing the approximate values. y =x+3y, y(0)=1, 05x52 (Do not round unti the final answer. Then round to four decimal places as needed.) 0.2 0.4 0.6 0.8 1 1.2 14 1.6 1.8 2 Euler Approximation, h=0.1 Euler Approximation, h=0.02 Euler Approximation, h=0.004 Euler Approximation, h=0.0008 OOO O O
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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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 equaly spaced points of the given interval. Make a table showing the
approximate values.
y =x+3y, y(0)= 1, 05x52
(Do not round unti the final answer. Then round to four decimal places as needed.)
0.2
0.4
0.6
0.8
1
1.2
14
1.6
1.8
Euler
Approximation,
h=0.1
Euler
Approximation,
h=0.02
Euler
Approximation,
h=0.004
Euler
Approximation,
h=0.0008
O O
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