[理工] Frobenius
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
12/14 08:31, , 1F
12/14 08:31, 1F
推
12/14 09:27, , 2F
12/14 09:27, 2F
→
12/14 09:27, , 3F
12/14 09:27, 3F
→
12/14 09:28, , 4F
12/14 09:28, 4F
→
12/14 09:44, , 5F
12/14 09:44, 5F
推
12/14 21:43, , 6F
12/14 21:43, 6F
推
12/14 21:44, , 7F
12/14 21:44, 7F
→
12/15 00:39, , 8F
12/15 00:39, 8F
推
12/15 01:11, , 9F
12/15 01:11, 9F
推
10/21 18:51, , 10F
10/21 18:51, 10F
推
03/29 02:51, , 11F
03/29 02:51, 11F
→
09/11 14:40, , 12F
09/11 14:40, 12F