In this section we state that the error e2000 is 0.000063

Chapter , Problem 6

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In this section we state that the error e2000 is 0.000063 for the Euler approximation of the initial-value problem dy/dt = 2t y2, y(0) = 1 over the interval 0 t 2. Estimate how many steps n are needed to obtain an approximation yn that has an error en no larger than 0.000001.

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