If $$y = (x + \sqrt{1 + x^{2}})^{n}$$ then show that
$$(1 + x^{2})\dfrac{d^{2}y}{dx^{2}} + x \dfrac{dy}{dx} = n^{2}y$$

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If $$y = (x + \sqrt{1 + x^{2}})^{n}$$ then show that
$$(1 + x^{2})\dfrac{d^{2}y}{dx^{2}} + x \dfrac{dy}{dx} = n^{2}y$$

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, then

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If $$y = (x + \sqrt{1 + x^{2}})^{n}$$ then show that $$(1 + x^{2})\dfrac{d^{2}y}{dx^{2}} + x \dfrac{dy}{dx} = n^{2}y$$

If $$y = (x + \sqrt{1 + x^{2}})^{n}$$ then show that
$$(1 + x^{2})\dfrac{d^{2}y}{dx^{2}} + x \dfrac{dy}{dx} = n^{2}y$$