JEE MAIN - Mathematics Hindi (2017 - 8th April Morning Slot - No. 21)

यदि $$y=\left[x+\sqrt{x^{2}-1}\right]^{15}+\left[x-\sqrt{x^{2}-1}\right]^{15}$$ है, तो $$\left(x^{2}-1\right) \frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}+x \frac{\mathrm{d} y}{\mathrm{~d} x}$$ बराबर है :
$$125 ~y$$
$$224 ~y^{2}$$
$$225 ~y^{2}$$
$$225 ~y$$

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