If y=log [x+x2+1], prove that (x2+1)dx2d2 y+xdxdy=0

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If {y}={{ }}{[{x}+{{{x}^{{2}}+{1}}}]}, prove that {({x}^{{2}}+

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If $y = lo g [x + x^{2} + 1]$ , prove that $(x^{2} + 1) \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0$

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Lucas Discussed

y = lo g [x + x^{2} + 1]

, prove that

(x^{2} + 1) \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0

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Question Text

y = lo g [x + x^{2} + 1]

, prove that

(x^{2} + 1) \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0