Continuity and Differentiability
Oswaal
CBSE
Grade 12
Question:
If $y = \left(x + \sqrt{x^2+1}\right)^n$, prove that $(1 + x^2) \dfrac{d^2 y}{dx^2} + x \dfrac{dy}{dx} - n^2 y = 0$.
Step-by-Step Solution
Key Concept: Differentiate twice w.r.t x and eliminate square root.
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Correct Answer:
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