Consider the function f (ac) = 0Xx

Consider the function (a) Expand f in a Fourier sine series on the interval [O, 2]. (You can leave terms of the form sin(nk/2) and/or cos(nk/2) in your coefficients.) (b) Use your answer to part (a) to find an explicit solution to the problem Ou 02u t) 0 u(2, t), O) f (x). Tt Ox2'