試題詳解

13. Continue from Question 十=. Solve the following non-homogeneous second order linear
differential equation
(x²-1)y"(x)-2xy'(x)+2y(x)=x²-1
for x ＞ I using the variation of parameters, i.e,, set the particular solution as

where y₁(x) and y₂(x) are homogeneous solutions from Question 十二. Which of the
following statements is/are true?
(A)
(B)
(C)
(D)

(E) None of the above is true.