In each of 18 through 21 carry out one step of the Euler method and of the improved

Chapter 8, Problem 21

(choose chapter or problem)

In each of 18 through 21 carry out one step of the Euler method and of the improved Euler method, using the step size h = 0.1. Suppose that a local truncation error no greater than 0.0025 is required. Estimate the step size that is needed for the Euler method to satisfy this requirement at the first stepy = (y2 + 2ty)/(3 + t2), y(0) = 0.5

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