Take into consideration the following Dirichlet problem It should be solved WITHOUT using exponentials: PDE: Uxx + Uyy =

[answerhappygod]

Take into consideration the following Dirichlet problem
It should be solved WITHOUT using exponentials:
PDE: Uxx + Uyy = 0; 0< x <a; 0< y <b
Boundary condition: u(x,0)=0; u(x,b)=0; u(0,y)=g(y) ; u(a,y)
=0
(a) If g(y) = 1, find an expression for the solution.
(b) what's the solution of u(0,0)
(c) what's the solution of u(a/2, b/2)
(HINT. Do not use exponentials, rely on hyperbolic sine and
hyperbolic cosine. The answer should be able to be expressed in
terms of hyperbolic cosine A + B)