I want to solve the partial differential equation $$u_{xx}+u_{yy}=-1$$ in the region $0<x<1, y>0$ subject to the boundary conditions $u(0,y)=0, u(1,y)=1$ and $u(x,0)=0$.
2026-03-25 22:10:29.1774476629
PDE-Poisson Equation $u_{xx}+u_{yy}=-1$??
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