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QUESTION 3 (a) Use the method of finite differences with Ar = 1 to solve approximately the boundary value problem y =1, OSIS2 y'(0) =

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QUESTION 3 (a) Use the method of finite differences with Ar = 1 to solve approximately the boundary value problem y" =1, OSIS2 y'(0) = 2, y(2) = 2 (8) (b) Explain briefly how you would use the "shooting method" to solve a problem of the type y" = f(y",y,y,x), or= 10 y(0) = A, y(10) = B, y'(0) = C where f is a function and A, B and C are constants. (Do NOT solve the problem.) (9)

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