If y=(tan−1 x2), show that (x2+1)2dx2d2 y+2x(x2+1)dxdy=2.

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If {y}={({t}{a}{n}^{{-{1}}} {x}^{{2}})}, show that {({x}^{{2}}

Question

If $y = (t a n^{- 1} x^{2})$ , show that $(x^{2} + 1)^{2} \frac{d ^{2} y}{d x ^{2}} + 2 x (x^{2} + 1) \frac{d y}{d x} = 2 .$

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y = (t a n^{- 1} x^{2})

, show that

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

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Question Text

y = (t a n^{- 1} x^{2})

, show that

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