A computer with a printer is required for Problems 17 through 24. In these initial value problems, use the improved Euler method with step sizes h = 0.1, 0.02, 0.004, and 0.0008 to approximate to five decimal places the values of the solution at ten equally spaced points of the given interval. Print the results in tabular form with appropriate headings to make it easy to gauge the effect of varying the step size h. Throughout, primes denote derivatives with respect to x.

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y = x² - y², y(0) = 1; 0≤x≤ 2