I am stuck, I don't know how to use the BC's to solve for the U(x,y).
Here is the question. I attached my work. The issue is this. I have the Eigen function F(x) and need to find the UA(x,y) solution. I already have G(y) function as well. HOwever, I am having trouble moving forward here because I know I am supposed to use the other two BC's but can't. U(0,y)=f(y) => F(0)G(y)=f(y) certainly can't be used . Also U(a,y)=> F(a)G(y)=0 F(a)=0.
Solve the Laplace Equation Uxx+Uyy=0 0<x<a 0<y<b
subject to the boundary conditions.
U(0,y)=f(y) U(a,y)=g(y) U(x,0)=0 U(x,b)=0
Here is the question. I attached my work. The issue is this. I have the Eigen function F(x) and need to find the UA(x,y) solution. I already have G(y) function as well. HOwever, I am having trouble moving forward here because I know I am supposed to use the other two BC's but can't. U(0,y)=f(y) => F(0)G(y)=f(y) certainly can't be used . Also U(a,y)=> F(a)G(y)=0 F(a)=0.
Solve the Laplace Equation Uxx+Uyy=0 0<x<a 0<y<b
subject to the boundary conditions.
U(0,y)=f(y) U(a,y)=g(y) U(x,0)=0 U(x,b)=0
