作者encorev37383 (廖小白˙ˇ˙碇)
看板NTU-Exam
标题[试题] 100-1 李克强 工程数学一 期中考(2nd)
时间Fri Dec 16 12:14:14 2011
课程名称︰工程数学一
课程性质︰必修
课程教师︰李克强
开课学院：工学院
开课系所︰化工系
考试日期（年月日）︰100.12.16
考试时限（分钟）：110分钟
是否需发放奖励金：是
（如未明确表示，则不予发放）
试题 :
(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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