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Euler's method

Euler's method is a technique for generating a table of approximate values MATH for an antiderivative MATH. Starting at a point MATH, an antiderivative has slope MATH. Take $h$ to be a small positive number and for $i\geq 0$, set MATH

Let $F$ be an antiderivative of $f$ that satisfies MATH. If $h$ is sufficiently small, then the point MATH will be close to the point MATH on the graph of MATH.


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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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