Question: Solve the mixed boundary value problem for the Laplace equation 2u = 0 in the rectangle in Fig. 457a (using the grid in Fig. 457b)

Solve the mixed boundary value problem for the Laplace equation ∆2u = 0 in the rectangle in Fig. 457a (using the grid in Fig. 457b) and the boundary conditions ux = 0 on the left edge, ux = 3 on the right edge, u = x2 on the lower edge, and u = x2 – 1 on the upper edge.

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