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Consider the initial-value problem dy/dt = y, y(0) = 1.

Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall ISBN: 9780495561989 199

Solution for problem 15 Chapter 1.4

Differential Equations 00 | 4th Edition

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Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall

Differential Equations 00 | 4th Edition

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Problem 15

Consider the initial-value problem dy/dt = y, y(0) = 1. Using Eulers method, compute three different approximate solutions corresponding to t = 1.0, 0.5, and 0.25 over the interval 0 t 4. Graph all three solutions. What predictions do you make about the actual solution to the initial-value problem?

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7/21/2017 OneNote Online Numerical Integration 9/9/13 Friday, September 6, 10:59 AM https://onedrive.live.com/view.aspxresid=36773184373A8F0B%21196&authkey=AndS3T22WHUFCDM 1/4 7/21/2017 OneNote Online https://onedrive.live.com/view.aspxresid=36773184373A8F0B%21196&authkey=AndS3T22WHUFCDM 2/4 7/21/2017

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Chapter 1.4, Problem 15 is Solved
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Textbook: Differential Equations 00
Edition: 4
Author: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall
ISBN: 9780495561989

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Consider the initial-value problem dy/dt = y, y(0) = 1.