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MATHEMATICAL METHODS FOR PHYSIC s 2.3 By expanding about the regular singular find the series solutions of Legendre's order zero: 2 di2 _ (1-x ) 2x ai-11 + X y = 0 . dx2 dx Show that both roots of the...

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MATHEMATICAL METHODS FOR PHYSIC s
2.3 By expanding about the regular singular find the series solutions of Legendre's order zero:
2 di2 _ (1-x ) 2x ai-11 + X y = 0 . dx2 dx
Show that both roots of the indicial equation vanish: a = 0,0. Find the first few terms in the regular solution: y = P(x) = 1+i (x XXXXXXXXXXX (x XXXXXXXXXX2
The other solution is supposed to be of the form y = P (x) In (x-1) + (x-1) [bo+bi (x-1) + b 2(x XXXXXXXXXXSubstitute in the differential equation and find 1:40 and b1.
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Answered Same Day Dec 27, 2021

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David answered on Dec 27 2021
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