Solve the heat equation:
k ∂²μ/ ∂²x²= ∂μ/ ∂t, for 0 < x < L and t > 0
(See (1) in section 12.3) subject to the given conditions. Assume a rod of length L.
μ(0,t) = 0, μ(L,t) = 0, t > 0
μ(x,0) = x(L-x), 0 < x < L.