Question:

2. [-/19 Points] DETAILS ZILLDIFFEQMODAP11 2.6.004. MY NOTES ASK YOUR TEACHER Use Euler's method to obtain a four-decimal approx

2. [-/19 Points]
DETAILS
ZILLDIFFEQMODAP11 2.6.004.
MY NOTES
ASK YOUR TEACHER
Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find
an explicit solution for the initial-value problem and then fill in the following tables. (Round your answers to four decimal places.
Percentages may be rounded to two decimal places.)
y' = 2xy, y(1) = 1; y(1.5)
y(x) =
(explicit solution)
h = 0.1
xn
Yn
Actual
Value
Absolute
Error
% Rel.
Error
1.00
1.0000
1.0000
0.0000
0.00
1.10
1.2337
1.20
1.5527
1.30
1.9937
IIIII
1.40
2.6117
1.50
3.4903
h = 0.05
X
yn
Actual
Value
Absolute
Error
% Rel.
Error
1.00
1.0000
1.0000
0.0000
0.00
1.05
1.1000
1.1079
0.0079
0.71
1.10
1.2155
1.2337
0.0182
1.48
1.15
1.3492
1.3806
0.0314
2.27
1.20
1.5044
1.5527
0.0483
3.11
1.25
1.6849
1.7551
0.0702
4.00
1.30
1.8955
1.9937
0.0982
4.93
1.35
2.1419
2.2762
0.1343
5.90
1.40
2.4311
2.6117
0.1806
6.92
1.45
2.7715
3.0117
0.2402
7.98
1.50
3.4903
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2. [-/19 Points] DETAILS ZILLDIFFEQMODAP11 2.6.004. MY NOTES ASK YOUR TEACHER Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for the initial-value problem and then fill in the following tables. (Round your answers to four decimal places. Percentages may be rounded to two decimal places.) y' = 2xy, y(1) = 1; y(1.5) y(x) = (explicit solution) h = 0.1 xn Yn Actual Value Absolute Error % Rel. Error 1.00 1.0000 1.0000 0.0000 0.00 1.10 1.2337 1.20 1.5527 1.30 1.9937 IIIII 1.40 2.6117 1.50 3.4903 h = 0.05 X yn Actual Value Absolute Error % Rel. Error 1.00 1.0000 1.0000 0.0000 0.00 1.05 1.1000 1.1079 0.0079 0.71 1.10 1.2155 1.2337 0.0182 1.48 1.15 1.3492 1.3806 0.0314 2.27 1.20 1.5044 1.5527 0.0483 3.11 1.25 1.6849 1.7551 0.0702 4.00 1.30 1.8955 1.9937 0.0982 4.93 1.35 2.1419 2.2762 0.1343 5.90 1.40 2.4311 2.6117 0.1806 6.92 1.45 2.7715 3.0117 0.2402 7.98 1.50 3.4903 Need Help? Read It