fx 0 4x 1 3 4x 0 x 3 4and f20 x is its 20term Fourier s

f(x) = { 0 (4x - 1) (3 - 4x) 0 x 3 / 4and f20 (x) is its 20-term Fourier sine approximation (see problem 4). Solve the heat equation uxx = ut for u (x, t) with boundary conditions u(0,t) = u(1, t) =0 and initial conditions u(x, 0) =f2o(x). Compute u (x, t). Use Mathematica\'s Plot3D function to plot u (x,t) on the rectangle x [0,1], t e [0,1].

Solution

solution is theft at 6:35 AM