Using a step size h = 0.05 and the Euler method, but retaining only three digits

Chapter 8, Problem 22

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Using a step size h = 0.05 and the Euler method, but retaining only three digits throughout the computations, determine approximate values of the solution at t = 0.1, 0.2, 0.3, and 0.4 for each of the following initial value problems: N a. y_ = 1 t + 4y, y(0) = 1 N b. y_ = 3 + t y, y(0) = 1 N c. y_ = 2y 3t, y(0) = 1 Compare the results of a with those obtained in Example 1 and in and the results of c with those obtained in 4. The small differences between some of those results rounded to three digits and the present results are due to round-off error. The round-off error would become important if the computation required many steps. 2