問題詳情

【題組】

十三、Continued from Problem 十二 . Solve the non-homogeneous second order differential equa-
tion
x2y"(x)-4xy'(x)+6y(x)=x3
by variation of parameters, i.e, set the particular solution as

+
u2(x)y2(x), where y1(x) and y2(x) are homogeneous solutions. With initial conditions
y(1) = 0 and y'(1) = 1 for the complete solution y(x), which of the following statements
is/are true?

(A) The real valued solution y(x) exists only for t ＞ 0.
(B) y(2) = 2.
(C) 2y'(2) -3y(2) = 8.
(D) y'(3) -y(3) = 4.
(E) None of the above are true.

參考答案

答案：[無官方正解]
難度：計算中-1
書單：沒有書單，新增