Question: 1. Solve for the steady-state temperature distribution in a thin flat plate covering the rectangle 0 ≤ x ≤ 4, 0 ≤ y ≤ 1 if the temperature on the horizontal sides is zero, while on the left side it is f(y) = sin(Πy) and on the right side it is
f(y) = y(1 - y)
2. Find a series solution for the Dirichlet problem for a disk of the given radius, with the given boundary data (in polar coordinates).
R = 3, f(Θ) = 1