Consider the problem uxx + uyy = 0 in the triangle {x > 0,

Chapter 7, Problem 8

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Consider the problem uxx + uyy = 0 in the triangle {x > 0, y > 0, 3x+y < 3}with the boundary conditions u(x,0)=0 u(0, y)= y(3 y) u(x,33x)=0 Choosew0=y(33xy)andw1=xy(33xy).FindtheRayleigh Ritz approximation w0 + c1w1 to u. That is, use Exercise 7 to nd the constant c1.

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