[理工] 級數解

看板Grad-ProbAsk作者TangHsing (阿魚)時間13年前 (2012/12/21 07:34)推噓3(3推 0噓 1→)

留言4則, 1人參與討論串2/2 (看更多)

想請教一題 Frobenius series中指標方程式和解析解的關係題目如下 Accroding to the characteristics of the two roots of the indicial equation, we can classify the solutions. Under what conditions of the two roots, is only one solution analytic? Under what conditions, on the other hand, do there exist possibly two analytic solutions with at least being analytic? 詳解寫 r1 = r2 = r 二重根必有一組解為analytic r1 != r2 且 r1 - r2 = 整數時，至少有一組解為analytic 為什麼？題目有點長還麻煩版友幫忙解惑感謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.115.207.144

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n79101

12/21 14:34, , 1^F

12/21 14:34, 1^F

是有什麼想法嗎QQQ ※ 編輯: TangHsing 來自: 140.115.207.144 (12/21 22:55)

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n79101

12/22 00:06, , 2^F

12/22 00:06, 2^F

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n79101

12/22 00:07, , 3^F