If y=(x+1+x2)n, then show that (1+x2)dx2d2y+xdxdy=n2y˙

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If {y}={({x}+{{{1}+{x}^{{2}}}})}^{{n}}, then show that {({1}+{

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If $y = (x + 1 + x^{2})^{n}$ , then show that $(1 + x^{2}) \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = n^{2} y ˙$

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Noah Discussed

y = (x + 1 + x^{2})^{n}

, then show that

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

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Question Text

y = (x + 1 + x^{2})^{n}

, then show that

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