We have the differencial equation: a' = sin(t + x), x(0) = 1/2. a" (t) Find by taking the derivative on both sides and then find a" (0) t = 0.1 Use this to find a solution approximation at by using the quadratic taylor polynomial. Also find a h that guarantees an error less than 0.0001 when using Eulers method.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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
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We have the differencial equation: = sin(t + x), x(0) = 1/2.
r"(t)
|by taking the derivative on both sides and then find
Find
a" (0)
Use this to find a solution approximation at
t = 0.1
by using the
quadratic taylor polynomial.
Also find a h that guarantees an error less than 0.0001 when using
Eulers method.
Transcribed Image Text:We have the differencial equation: = sin(t + x), x(0) = 1/2. r"(t) |by taking the derivative on both sides and then find Find a" (0) Use this to find a solution approximation at t = 0.1 by using the quadratic taylor polynomial. Also find a h that guarantees an error less than 0.0001 when using Eulers method.
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