(a) Find the Greens function for the octant o={ (x, y,z):

Chapter 7, Problem 18

(choose chapter or problem)

(a) Find the Greens function for the octant o={ (x, y,z): x >0, y >0, z >0}.(Hint: Use the method of reection.)(b) Use your answer in part (a) to solve the Dirichlet problem #uxx+uyy+uzz =0 in o u(0, y,z)=0,u(x,0,z)=0, u(x, y,0)=h(x, y) for x > 0, y > 0,z > 0.

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