Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and
Question:
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 each initial-value problem and then construct tables similar to tables (a) and (b).
y' = y, y(0) = 1; y(1.0)
(a)
(b)
Transcribed Image Text:
yn Actual value Abs. error % Rel. error 1.00 1.0000 1.0000 0.0000 0.00 1.10 1.0200 1.0212 0.0012 0.12 1.20 1.0424 1.0450 0.0025 0.24 1.30 1.0675 1.0714 0.0040 0.37 1.40 1.0952 1.1008 0.0055 0.50 1.50 1.1259 1.1331 0.0073 0.64
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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