Homework Statement
Uxx +u(x,y)=0
Homework Equations
?
The Attempt at a Solution
Step 1) u(x,y)=A(x)B(y)
Step 2) uxx=d^u/dx^2
Step 3) d^u/dx^2 + A(x)B(y) = 0
Step 4) d^u/dx^2 = -[A(x)B(y)] (?)
I have no idea what I'm doing, so small words would be useful.