If y = frac{sinh^{-1} x}{sqrt{1+x^2}},then (1 | vedclass

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(D) Given,$y = \frac{\sinh^{-1} x}{\sqrt{1+x^2}}$$\sqrt{1+x^2} y = \sinh^{-1} x$On differentiating with respect to $x$,we get:$\sqrt{1+x^2} y_1 + y \c

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(D) Given,$y = \frac{\sinh^{-1} x}{\sqrt{1+x^2}}$$\sqrt{1+x^2} y = \sinh^{-1} x$On differentiating with respect to $x$,we get:$\sqrt{1+x^2} y_1 + y \cdot \frac{1}{2\sqrt{1+x^2}} \cdot 2x = \frac{1}{\sqrt{1+x^2}}$Multiplying both sides by $\sqrt{1+x^2}$,we get:$(1+x^2) y_1 + xy = 1$Again,on differentiating with respect to $x$,we get:$(1+x^2) y_2 + y_1(2x) + x y_1 + y = 0$$(1+x^2) y_2 + 3xy_1 + y = 0$

If $y = \frac{\sinh^{-1} x}{\sqrt{1+x^2}}$,then $(1+x^2) y_2 + 3xy_1 + y = $

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