Question: Consider the initial-value problem y' = (x + y - 1) 2 , y(0) = 2. Use the improved Eulers method with h = 0.1

Consider the initial-value problem y' = (x + y - 1)², y(0) = 2. Use the improved Euler’s method with h = 0.1 and h = 0.05 to obtain approximate values of the solution at x = 0.5. At each step compare the approximate value with the actual value of the analytic solution.

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