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1. (a) Derive the solution u(x, y) of Laplaces equation in the rectangle 0 < x <a, 0 <y <b, that satisfies the boundary cond

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Caplace question de bien o ponto a(0,4)= 0, uca,y)= 0 u (2020 , 110%,b)--g(w, Using separation variable. Lel - u(ny) = has pl1. The is then , o= ple) = 4 79 80 ) » Ca simulany) un myja Ba sin (eng) sindan) ulag) B, sin(many Josim na) product solutiona²n^ fu (usin/max) - An (x-4) cestoran Tn Hasino 405 49% savo lo sintet) -sances dans D) + 6 hou (-fil + costume) - ankie aev

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1. (a) Derive the solution u(x, y) of Laplace's equation in the rectangle 0 < x...
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