We considered the DE y' = y2 - 4 in Example 8 of Sec. 1.2. (The direction

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We considered the DE y' = y2 - 4 in Example 8 of Sec. 1.2. (The direction field is graphed in Fig. 1.2.5.) What is the result of applying Euler's method (or other methods, if available) to the IVPs
y' = y2 - 4, y(0) = 2 and y' = y2 - 4, y(0) = -2?
How accurate are your approximations? What should the solutions be?
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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