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Unformatted text preview: Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 1.4 (p. 28) The Approximation Method of Euler 1. a b yab Estimate at the pts where and using New old + slope at old pt 3 3 (2 3 ) ( .1) = 2.7 2.7) ( .1) = 2.511 2.511) ( .1) = 2.383 2.383) ( .1) = 2.292 2.7 2.7 ( 2 2.511 2.511 ( 2 2.383 2.383 ( 2 ab ab ab ab Finally, ab aba b 3. ab Estimate at the pts where and using New = old + slope at old pt ab a b ab a b ab a b ab a b ab 5. ^ ab Estimate at the pts where using 1 1 2 1 1. 0.2 = 1.4
2 1.4 1.4 1.2 1.96
2 1.4 . 0.2 = 1.96 1.96 ab ab ab 1.4 1.96 . .2 = 2.789 ...
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 Spring '08
 Chorin
 Differential Equations, Linear Algebra, Algebra, Equations, Approximation, Slope, ab ab ab, Nagle, Saff

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