1. (10 points) Solve the heat ow problem an 6211 5:4622\" t>0,0, an a('',t)=0, t>0, u(m,0)=2c032$+5c0s3w, US$371". [In this problem and the following ones it is not necessary to repeat the separation of variables: you may use the apprOpriate formal solution of the PDE and boundary conditions found in notes and lectures] 2. (10 points) Solve the heat ow problem Bu B21; as, t>0,0 D, u(1,t) = 1, t > 0, u(z,0)=a:2, 05151