Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and
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y' = 2xy, y(1) = 1; y(1.5)
(a)
(b)
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Actual value Abs. error % Rel. error Хл Уп 0.0000 1.00 1.0000 1.0000 0.00 1.10 1.0200 1.0212 0.0012 0.12 0.24 1.20 1.0424 1.0450 0.0025 1.30 1.0675 1.0714 0.0040 0.37 1.40 1.1008 0.0055 1.0952 0.50 1.50 1.1259 1.1331 0.0073 0.64 Actual value Abs. error % Rel. error Хп Ул 1.00 1.0000 1.0000 0.0000 0.00 1.05 1.0100 1.0103 0.0003 0.03 1.10 1.0206 1.0212 0.0006 0.06 1.15 1.0318 1.0328 0.0009 0.09 1.20 1.0437 1.0450 0.0013 0.12 1.25 1.0562 1.0579 0.0016 0.16 1.30 1.0694 1.0714 0.0020 0.19 1.35 1.0833 1.0857 0.0024 0.22 1.40 1.0980 1.1008 0.0028 0.25 1.45 1.1133 1.1166 0.0032 0.29 1.50 1.1295 1.1331 0.0037 0.32
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Separating variables and integrating we have dyy 2x dx and ln y x 2 c Thus y ...View the full answer
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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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