# Modified euler method as predictor corrector method

(a) Suppose that y = y(x) is the solution to the initial value problem dy dx = cosy, y(0) = 0 use Modiﬁed Euler’s method as a predictor-corrector pair (with one correction at each step), taking h = 0.1 and obtain approximation to y(0.1) and y(0.2). Fill in the blanks: (a) y1(0.1) = y(p) 1 (0.1) = , (b) y(c) 1 (0.1) = ,(c) y1(0.2) = y(p) 1 (0.2) = , (b) y(c) 1 (0.2)

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