Problem 5 (Submit) Heat equation Apply the method of separation of variables to solve the heat, equation m = In,\" for t > 0, 271' S .1: S 211'. with periodic boundary conditions Bu(27T, t) _ Bu(2ar, f.) 1 2 ,t 21,2 ,t, and , L( W ) 1(7T ) 6:3 (9.1: and initial condition u(:17,0) : costs/2) + Slll(.'12). Show all the cases when solving the appropriate eigenvalue