1. The problem statement, all variables and given/known data a rectangular plate (15 x 30) with the following boundary conditions: u_y(x,0) = 0 u_y(x,30) = 0 u_x(0,y) = 0 u_x(15,y) = y(20-y) the derivative B.Cs describe the heat flux through the boundaries. solve the the steady-state temp u(x,t) 2. Relevant equations steady-state: [tex]\nabla[/tex]^2 * u =0 3. The attempt at a solution I set u(x,y)=F(x)G(y) with the BCs, I got G'(0)=0 G'(30)=0 F'(0)=0 F'(15)=y(20-y) let F=A*cos(px) + B*sin(px) F'(0)=0; so B=0 F'(15)=-A*sin(15*p)=y(20-y) this is where I got stock. How can I solve for 'p' or A with the B.C. that has 'y' in there? Am I doing the right thing? Thank you very much!