[理工] [工數] 成大100

看板Grad-ProbAsk作者OKOK98 (UTN)時間14年前 (2011/09/15 03:54)推噓1(1推 0噓 4→)

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成大工數100第一題 The first six Legendre polynomials are P0(x)=1 P1(x)=x P2(x)=1/2 (3x^2-1) P3(x)=1/2 (5x^3-3x) P4(x)=1/8 (35x^4-30x^2+3) P5(x)=1/8 (63x^5-70x^3+15x) Find the first three positive values of λ for which the problem (1-x^2)y'' - 2xy' + λy = 0 y(0)=0,y(x),y'(x) bounded on[-1,1] has nontrivial solutions (solutions other than y(x)=0) -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.114.206.124

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endlesschaos

09/15 12:36, , 1^F

09/15 12:36, 1^F

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endlesschaos

09/15 12:37, , 2^F

09/15 12:37, 2^F

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ntust661

09/15 22:15, , 3^F

09/15 22:15, 3^F