Question: 2. Solve the fixed ends heat problem DE : Ut = 3uxx, OXX0 BC: u(0, t) = 0, u(n, t) = 0 IC : u(x,

2. Solve the fixed ends heat problem DE : Ut = 3uxx, OXX0 BC: u(0, t) = 0, u(n, t) = 0 IC : u(x, 0) = f(x) where the initial condition is given by a. f () = 3 sin x - 2 sin 2x + sin 5x b. f(x) = 4 sin 2x cos x (use the trig identity: sin 0 cos o = sin (0 + 4) + sin (0 - 4)])

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