Find the variational formulation of the following problems (3.1) " +u = f on (0, e) : u (0) -u' (e)- u (e) %3D ALSO Show that the variational problem has at most one solution for problem (3 1) (3.2) y(4) " +u f on (0,2) " (0) = 0 " () %3D u (0) %3D u' (2) = 0. (3.3) zu (z, t) + f (z, t) for , ((, ) for 9 (x) for z (0, ). (, t) u (0, t) u (1, 0) z (0,2), t>0 t>0 Find the variational formulation of the following problems (3.1) " +u = f on (0, e) : u (0) -u' (e)- u (e) %3D ALSO Show that the variational problem has at most one solution for problem (3 1) (3.2) y(4) " +u f on (0,2) " (0) = 0 " () %3D u (0) %3D u' (2) = 0. (3.3) zu (z, t) + f (z, t) for , ((, ) for 9 (x) for z (0, ). (, t) u (0, t) u (1, 0) z (0,2), t>0 t>0