In Problem the given two-parameter family is a solution of the indicated differential equation on the interval (‑∞, ∞). Determine whether a member of the family can be found that satis­fies the boundary conditions.

y =­ c₁e^x cos x + c₂e^x sin x; y'' ‑ 2y' + 2y =­ 0

(a) y(0) ­= 1, y'(π) =­ 0

(b) y(0) ­= 1, y(π) ­= ‑1

(c) y(0) =­ 1, y(π/2) = 1

(d) y(0) ­= 0, y(π) =­ 0.