+ 3. a Solve the heat equation on a disk au 1a au 1 824 at p2 ag2 00, with the boundary condition u(1,0, t) = sin(30), & ( ) + ror and the initial condition ur, 0,0) = 0. State clearly the implicit boundary conditions. State clearly your Sturm-Liouville problem(s) and any orthogonality relationships. Solve this problem (showing the full Fourier series solution before applying the initial condition), then using orthogonality relative to the initial condition, reduce the Fourier series solution. (Don't try to reduce your integrals in r.) + 3. a Solve the heat equation on a disk au 1a au 1 824 at p2 ag2 00, with the boundary condition u(1,0, t) = sin(30), & ( ) + ror and the initial condition ur, 0,0) = 0. State clearly the implicit boundary conditions. State clearly your Sturm-Liouville problem(s) and any orthogonality relationships. Solve this problem (showing the full Fourier series solution before applying the initial condition), then using orthogonality relative to the initial condition, reduce the Fourier series solution. (Don't try to reduce your integrals in r.)