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…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(y=\left[x+\sqrt{x^{2}-1}\right]^{15}+\left[x-\sqrt{x^{2}-1}\right]^{15}\), then \(\left(x^{2}-1\right) \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}\) is equal to:
- 224y2
- 125y
- 225y
- 225y2
Answer
(C) 225y
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