Mathematics · 2017
JEE Main · 8 April 2017, Shift 1 · Q72
If y=[x+√(x^2-1)]^15+[x-√(x^2-1)]^15, then (x^2-1) (d^2 y)/(d x^2)+x (d y)/(d x) is equal to:
If $\displaystyle y=\left[x+\sqrt{x^2-1}\right]^{15}+\left[x-\sqrt{x^2-1}\right]^{15}$, then $\displaystyle \left(x^2-1\right) \frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}+x \frac{\mathrm{~d} y}{\mathrm{~d} x}$ is equal to :
Official answer
(4)
$\displaystyle 225 y$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.