When possible, find and graph the displacement u(x) and bending moment w(x) of a beam of unit

Question:

When possible, find and graph the displacement u(x) and bending moment w(x) of a beam of unit length l = 1 with constant bending stiffness c(x) = 1 subject to a unit gravitational force when it has
(a) Two simply supported ends,
(b) One simply supported end and one free end,
(c) One simply supported end and one sliding end,
(d) One fixed end and one free end,
(e) One fixed end and one sliding end.