課程名稱︰工程數學一
課程性質︰必修
課程教師︰李克強
開課學院：工學院
開課系所︰化工系
考試日期（年月日）︰100.12.16
考試時限（分鐘）：110分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
(I) By making the change of variable x-1 = t, find the first three non-zero
terms in each of the two linearly independent series solutions, y1(x) and
y2(x), of y"+(x-1)^2 y'+(x^2-1)y = 0 in powers of (x-1). (50%)
(II) Find the first three nonzero terms in each of the two linearly independent
series solutions in powers of (x-x0) for the following different equation:
(1-x)y" + y = 0 , x0 = 0 (50%)
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