If y = [x+ x^2-1 ]^ 15 + [x - x^2-1 ]^ 15 , then (x^2-1) d^2y dx^2 + x dy dx is equal to:

JEE Main 2017 Mathematics question

If , then is equal to:

Answer: (3)

Write and , so and . Differentiating ,

= 1 + = = ,

and similarly . Hence

= {15

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Question ID VK-115843