Find uniform asymptotic approximations to the solutions of the following problems on 0 ≤ x ≤ 1 with 0 < ε ≪ 1.
a) εy'' + (x² + 1)y' - x³y = 0, y(0) = y(1) = 1

a) y(x) ≈ e(-x/ε) / √(2πε)
b) y(x) ≈ e(-x/√ε) / √(2π√ε)
c) y(x) ≈ e(-x/(2ε)) / √(πε)
d) y(x) ≈ e(-x/(2ε)) / √(2πε)