Write a MATLAB program that uses the predictor–corrector method to solve the ODE

subject to the initial condition y(0) = 1. You should compute the solution for the step sizes h = 0.1, 0.01, . . . , 10⁻⁷.Make a log–log plot of the absolute error in the numerical solution at the value x = 2 as a function of the step size. You should define the absolute error as

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dy dx =