6. Consider the boundary value problem y" (x) + x²y'(x) = x, y(0) = -1, y' (2) = 2, d²y where y' = dy and y" = . Use cen

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6 Consider The Boundary Value Problem Y X X Y X X Y 0 1 Y 2 2 D Y Where Y Dy And Y Use Cen 1 (49.04 KiB) Viewed 11 times

6. Consider the boundary value problem y" (x) + x²y'(x) = x, y(0) = -1, y' (2) = 2, d²y where y' = dy and y" = . Use central differences with the grid spacing h = 1 to set up a system of linear equations for the computation of the values for y(1) and y(2). Give the answer in the form y(1) A - y(2) where A is a 2 x 2 matrix and B is a 2 x 1 column vector. DO NOT attempt to solve the system. B,