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  3. 3 legendres differential equation is 20 1x2yquot 2xynn 1y...

Question: 3 legendres differential equation is 20 1x2yquot 2xynn 1y...

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3. Legendres differential equation is: (20%) (1-x2)y -2xy+n(n + 1)y 0-eq(3) A. Show the general solution of eq(3) in details.(896) B. Prove the Legendre Polynomials Pn(x) in details (8%) (2n)! ( Hint: an=2n(1)2 2·ml(n n m 2m-2m)? (M = n or-21 choose as integer) C. Graph the Legendre Polynomials Pn(x) when n-0,1,2,3 (496) 4.

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