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 =­ c₁x² + c₂x⁴ + 3; x²y'' ‑ 5xy' + 8y =­ 24

(a) y(‑1) =­ 0, y(1) =­ 4

(b) y(0) =­ 1, y(1) =­ 2

(c) y(0) =­ 3, y(1) =­ 0

(d) y(1) =­ 3, y(2) =­ 15