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Consider the Dirichlet problem for the Laplace equation on half-space with the boundary condition $f(x)=\chi _{[0,\infty)}(x)$. Use the exact solution and find a functon $g:\mathbb{R}\rightarrow \mathbb{R}$ such that $u(x,y)=g(x/y)$

Really need help with this question!!Please! Any help would be highly appreciated!

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