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試卷名稱：110年 - 110 台灣聯合大學系統_碩士班招生考試_電機科:工程數學(C)#125211
年份：110年
科目：研究所、轉學考(插大)◆工程數學
12、For the following homogeneous second order linear differential equation
(x2 - 1)y''(x) - 2xy'(x) + 2y(x) = 0
for x ＞ 1, given one solution y1(x) = x, the other linearly independent solution y2(x) can then be derived by setting y2(x) = v(x)y1(x). Which of the following statements is/are true?
(A) (x3 + x)v''(x) + 2v'(x) = 0.
(B) v(x) with v'(x) =
corresponds to one of the possible solutions.
(C) v(x) with v'(x) =
corresponds to one of the possible solutions.
(D) y(x) = 1 + x + x2 is one of the possible solutions.
(E) None of the above is true.
