a-d please

* 1. Reduce to two ordinary differential equations, one an eigenvalue problem, the other having one initial condition, and find the particular solutions: ? ? () = 0 ar2 ? for o0, , (x, 0) = 0, at u(0, t) = (1, t) = 0. ?u (b) 4. ? +4= 0 for o 0, ar "? (x, 0) = (0), (0, 1) = (1, 1) = 0. ?, ? + = 0 ?" for a 0, ar ? (0, t) = (0, (1, t) = (). ? * 1. Reduce to two ordinary differential equations, one an eigenvalue problem, the other having one initial condition, and find the particular solutions: ? ? () = 0 ar2 ? for o0, , (x, 0) = 0, at u(0, t) = (1, t) = 0. ?u (b) 4. ? +4= 0 for o 0, ar "? (x, 0) = (0), (0, 1) = (1, 1) = 0. ?, ? + = 0 ?" for a 0, ar ? (0, t) = (0, (1, t) = (). ?