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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
13、Continue from Question 十二. Solve the following non-homogeneous second order linear differential equation
(x2 - 1)y''(x) - 2xy'(x) + 2y(x) = x2 - 1
for x ＞ 1 using the variation of parameters, i.e., set the particular solution as
yp(x) = u1(x)y1(x) + u2(x)y2(x)
where y1(x) and y2(x) are homogeneous solutions from Question 十二. Which of the following statements is/are true?
(A)
(B) u'1(x) = -(x2 + 1)
(C)u'2(x) =
(D) u'2(x) = x
(E) None of the above is true.
