(a) Use the family in Problem 1 to fi­nd a solution of y'' ‑ y =­ 0 that satisfi­es the boundary conditions y(0) =­ 0, y(1) =­ 1.

(b) The DE in part (a) has the alternative general solution y = c₃ cosh x + c₄ sinh x on (‑∞,∞). Use this family to fi­nd a solution that satisfi­es the boundary conditions in part‑(a).

(c) Show that the solutions in parts (a) and (b) are equivalent.