Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h = 0.1. Construct a table showing values of the approximate solution and the actual solution at the points x = 0.1, 0.2, 0.3, 0.4, 0.5. y' = − 6x²y, y(0) = 4; y(x) = 4e¯ - -2x3 ... Complete the table below. (Round to four decimal places as needed.) Xn Actual, y (xn) 0.1 0.2 0.3 0.4 0.5

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