3. Find the solution to the heat conduction problem: 24t = Urr, 0x 2n, t> 0 u (0, t) u (2n, t) u(x,0) = = = 0 0 I = f(x) Again, the mechanics of this problem are very VERY similar to the previous problem. In fact, that's the case with most of the heat equation problems. The main difference is in the eigenvalue/eigenfunction part! Note that this time around we have Neumann boundary conditions (the boundary conditions are on the spatial derivative of the function; think of this as insulation, no heat flow in or out).