8. Consider the IVP y"" = t+y², y(0) = 1, y'(0) = 1, y"(0) = -1. Use Euler's method with step size h = .5 to estimate y(2), rounded to 3 decimal places. Your answer should include a table containing all of the appropriate values you used to compute your estimate.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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8.
Consider the IVP y"" = t + y², y(0) = 1, y'(0)
1, y" (0) = -1. Use Euler's method
with step size h .5 to estimate y(2), rounded to 3 decimal places. Your answer should include a table
containing all of the appropriate values you used to compute your estimate.
=
=
Transcribed Image Text:8. Consider the IVP y"" = t + y², y(0) = 1, y'(0) 1, y" (0) = -1. Use Euler's method with step size h .5 to estimate y(2), rounded to 3 decimal places. Your answer should include a table containing all of the appropriate values you used to compute your estimate. = =
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