試題詳解

16. Consider the following second order differential equation
3t²y"(t) + sin(t)y'(t) - cos(t)w(t) =0.

be two linearly independent Frobenius
series solution for y(t) in the above differential equation when t ＞ 0. Assuming r₁≥ r₂
and a₀ = 1, which of the following statements is/are true regarding the solution y₁(t)?
(A) r₁ =1.
(B)
(C)
(D)

(E) None of the above is true.