If y=(x^2-1)^n ,prove that (x^2-1)yn+2 +2xyn+1 - n(n+1)yn =0 Hence if Pn = d^n/dx^n {(1-x^2)dPn/dx..

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If y=(x^2-1)^n ,prove that (x^2-1)yn+2 +2xyn+1 - n(n+1)yn =0 Hence if Pn = d^n/dx^n {(1-x^2)dPn/dx} +n(n+1)Pn = 0

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If y=(x^2-1)^n ,prove that (x^2-1)yn+2 +2xyn+1 - n(n+1)yn =0
If y=(x2-1)n ,prove that (x2-1)yn+2 +2xyn+1 - n(n+1)yn =0
If y=(x^2-1)n ,prove that (x^2-1)yn+2 +2xyn+1 - n(n+1)yn =0
If y=(x²-1)^n ,prove that (x²-1)yn+2 +2xyn+1 - n(n+1)yn =0

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successive differentiation

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