Nasty Surprise Use Euler's method with h = 0.25 to approximate the solution of y' = y2,

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Nasty Surprise Use Euler's method with h = 0.25 to approximate the solution of y' = y2, y(0) = 1, at t = 0.25, t = 0.50, t = 0.75, and t = 1. Verify that the exact solution is y(t) = 1/(1-t); does this help explain what happened to the Euler approximation?
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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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