Mathematics, 19.07.2019 23:10 Fahaddie

Consider the ivp y 0 = y − x − 1, y(0) = 1 with exact solution y(x) = 2 + x − e x . apply euler’s method twice to approximate this solution on the interval [0, 1/2], first with step size h = 0.25 and then with step size h = 0.1. compare the three decimal place values of the two approximations at x = 1/2 with the value y(1/2) of the exact solution.

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Consider the ivp y 0 = y − x − 1, y(0) = 1 with exact solution y(x) = 2 + x − e x . apply euler’s me...