An alternative approach to Question 9 uses the method of successive approximation, rewriting the equation as Putting

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An alternative approach to Question 9 uses the method of successive approximation, rewriting the equation as

Yn+1(x) = 1+ [y(t)- t + 1]dt, ++ [.1%. with yo(x) = y(0) = 1

Putting y0(x) = 1 into the integral, show that

yj(x) = 1 + 2x - y2(x) = 1 + 2x +   3

and find y3 and y4.

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