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

Chapter 8, Problem 25

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Using a step size h = 0.05 and the Euler method, but retaining only three digits throughoutthe computations, determine approximate values of the solution at t = 0.1, 0.2, 0.3, and0.4 for each of the following initial value problems:(a) y = 1 t + 4y, y(0) = 1(b) y = 3 + t y, y(0) = 1(c) y = 2y 3t, y(0) = 1Compare the results with those obtained in Example 1 and in 1 and 3. Thesmall differences between some of those results rounded to three digits and the presentresults are due to round-off error. The round-off error would become important if thecomputation required many steps.