Please show all working and explain clearly

1. Consider the PDE du at bcosr, 0 0 together with the boundary conditions Ou Ou TT (0, t) = 0, ax (5 ;t) =0, t>0 where b and a are constants. (a) Attempt to solve the steady-state problem and obtain a relationship between b and o that must hold in order for a solution to exist. (b) Assuming that the relationship determined in part (a) holds, find the steady-state solution if the initial condition is u(x, 0) = f(2), 0&lt