2.3.3. Consider the heat equation ди J²u = k- Ət მე2 u(0,t) = 0 and u(L,t) = 0. subject to the boundary conditions Solve the initial value problem if the temperature is initially (a) u(x, 0) = 6 sin Ta 9пх L (b) u(x, 0) = 3 sin sin - Зпх L 1 *(c) u(x, 0) = 2 cos 3x (d) u(x, 0): == 0<x<L/2 2 L/2<x<L