GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/21

Question 21 (Textile Engineering & Fibre Science)

If y_n=\frac{d^ny}{dx^n} and y=(x^2-1)^n, then the expression (x^2-1)y_{n+2}+2xy_{n+1} is equal to

(A)(n^2+1)y_n
(B)(n^2-1)y_n
(C)n(n-1)y_n
(D)n(n+1)y_n
[Show Answer]

Option D is correct.

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