Tabulate to two decimal places y1 y2, y3 of Exercise beside the corresponding values of the exact solution y(x) = 2ex − 1 − x.
Exercise
Apply the method of this section to obtain approximations y1, y2,y3, for the problem of use Euler’s method with the prescribed Δx to approximate the solution of the initial value problem in the given interval.
y′= x + y; when x = 0, y = 1; Δx = 0.1 and 0 ≤x 0 ≤1.
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