1. Solve the heat equation in 3 X 3 square With 04 = 1/2, u(a:, y, 0) = y. The temperature at the left and right edges being held at O and the lower and upper edges being insulated. 2. Solve the heat equation in the Circular domain With radius a = 2, oz : 1/2, u(r,6,0) = 2 - 7', u(a, 9, t) : O. Write the formal Bessel-Fourier expansion for the solution. Write the coefficients via integrals involving Bessel functions. 3. Solve the heat equation in the circular domain With radius a = 1, oz : 1/2, u(7", 6, O) : J0(30,17") + 0.1J1(31,17") cos 6, u(a, 9, t) = O