Cоnsider the prоblem оf finding the temperаture distribution u(x,t){"version":"1.1","mаth":"u(x,t)"} of а homogeneous one-dimensional rod of length π{"version":"1.1","math":"π"} with fixed temperatures at the ends and perfectly insulated lateral sides, no internal heat generation and a given initial temperature profile. The boundary value problem is: { u t − u x x = 0 , 0 0{"version":"1.1","math":"ω>0"} and A{"version":"1.1","math":"A"} and B{"version":"1.1","math":"B"} are constants to be determined, using linear superposition, if necessary. Write your answer in the answer box corresponding to this problem in the Solution Sheet.