dy dt =t+y; y(0) = 1
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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Question
adv maths
Transcribed Image Text:Consider the following IVP
dy
dt
=t+y; y(0) = 1
(a) Find t, if the error in y(t) obtained from first five terms of the
tatlor series is to be less than 5 × 10-³.
(b)Determine the number of terms in the taylor series required to obtain
results correct to 5 × 10-6 for t≤ 0.5.
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