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0.2 Given the initial value problem (IVP): 3²-3-y, 15t≤2, y(1) = -1

0.2 Given the initial value problem (IVP): 3²-3-y, 15t≤2, y(1) = -1

Advanced Engineering Mathematics
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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10.2 10.2.11 10.2.2 i 0. 1. 2. t 1-2-3 f(ty) Given the initial value problem (IVP): -y, 1st≤2, y(1) = -1 Apply Euler's algorithm to approximate the so- lution y(2) of the given IVP if h= 0.5. Com- plete the table on the next page. y'(t) = f(t₁,w₁) Wi+1 Apply the Taylor order 2 algorithm to approx- imate the solution y(1.5) of the given IVP if h=0.5.
Transcribed Image Text:10.2 10.2.11 10.2.2 i 0. 1. 2. t 1-2-3 f(ty) Given the initial value problem (IVP): -y, 1st≤2, y(1) = -1 Apply Euler's algorithm to approximate the so- lution y(2) of the given IVP if h= 0.5. Com- plete the table on the next page. y'(t) = f(t₁,w₁) Wi+1 Apply the Taylor order 2 algorithm to approx- imate the solution y(1.5) of the given IVP if h=0.5.
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