Consider the Heat Equation U = UTT u(x, 0) = { X, 0 < x <1 0, 1 < x <2 u(0,t) = u(2,t) = 0, t0 Give the Sine Series for u(x, 0). Include the first four nonzero terms. h coefficient should be a single reduced fraction. Give the solution to the Heat Equation, u(x, t). Include the first four nonzero ter a coefficient should be a single reduced fraction.