Use Euler's method to approximate the solutions for each of the following initial-value problems. a. y' =

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Use Euler's method to approximate the solutions for each of the following initial-value problems.
a. y' = et−y, 0≤ t ≤ 1, y(0) = 1, with h = 0.5
b. y' = (1 + t)/(1 + y) , 1≤ t ≤ 2, y(1) = 2, with h = 0.5
c. y' = −y + ty1/2, 2≤ t ≤ 3, y(2) = 2, with h = 0.25
d. y' = t−2(sin 2t − 2ty), 1≤ t ≤ 2, y(1) = 2, with h = 0.25
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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