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6. (Duz, pp.101–107) Laplace on A Square. Consider the Laplace equation on the square [0, 1]2:...

Question

6. (Duz, pp.101–107) Laplace on A Square. Consider the Laplace equation on the square [0, 1]2:...

6. (Duz, pp.101–107) Laplace on A Square. Consider the Laplace equation on the square [0, 1]2: JUxx + Uyy = 0; (x, y) € (0,1)

6. (Duz, pp.101–107) Laplace on A Square. Consider the Laplace equation on the square [0, 1]2: JUxx + Uyy = 0; (x, y) € (0,1) (0,1) | u(0,y) = °(y); u(1, y) = xy(x,0) = xy(x, 1) = 0. Use separation of variables to obtain a series solution.

Answers

mumin Justification k. To consider the toploce equation of the equare toit Then Unntvyy=0; (14) & (0) x (0,0) Luloy) - oly);


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