Hi, I need help with parts a, b and c

*Handwritten solutions only

4. i) The steady-state temperature distribution u = u(x, y) in a rectangular slab of length 7 and width 37 satisfies the Laplace equation, =0 for 0 0, solve for X(x). c) Solve for Y to obtain a sequence of solutions un (x, y) of the Laplace equation that satisfy each of the boundary conditions except u(x, 37) = g(x). d) Hence write down the solution u(x, y) if g(x) = T - x