作者l634259 (mat)
看板Grad-ProbAsk
標題[理工] Frobenius
時間Wed Dec 14 02:55:32 2011
4x 2 y' '+2xy'-xy = 0
(1) Show that zero is a regular singular point,
(2) Find and solve the indicial equation,
(3) Determine the recurrence relation,
(4) Find the first three terms of two
linearly independent Frobenius solutions.
(1) p=2/4x q=-1/4x
(2) r(2r-1) x^r =0 r=0 , 1/2
(3) an= an-1 / 4n^2 + 8nr - 2n + 4r^2 - 2r
(4) ????
請問一下各為我(1)(2)(3)小題的答案對不對
也請問一下第(4)如何算
請各位不吝嗇指教
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推 doom8199:寄站內信問 Frobenius 12/14 08:31
推 asuslover:recurrence relation要把r給帶進去 12/14 09:27
→ asuslover:帶進去你就會有兩個不同的式子 12/14 09:27
→ asuslover:r=0和r=1/2互為線性獨立解 12/14 09:28
→ l634259:可以寫一下詳解嗎 12/14 09:44
推 ocean5566:1樓說得是真的 而且他超強的 12/14 21:43
推 harrypotter2:一樓doom大是神手 12/14 21:44
→ l634259:doom8199可以教我算一下嗎 12/15 00:39
推 mp8113f:看到doom大 先拜再說啊 m(_ _)m 12/15 01:11
推 Frobenius:一樓doom大是神手 10/21 18:51