NUMERICAL METHODS PLEASE ANSWER (a), (b) and (c) Consider the following boundary-value problem: y" = 2x²y + xy +2, 1≤x≤4. Taking h= 1, set up the set of equations required to solve the problem by the finite difference method in each of the following cases of boundary conditions: (a) y(1)=-1, y(4)= 4; (b) y'(1) = 2, y'(4) = 0; (c) y'(1) = y(1), y'(4) = -2y (4). (Do not solve the equations!).

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