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If y=(tan^(-1)x)^2, show that (x^2+1)^2y...

If `y=(tan^(-1)x)^2`, show that `(x^2+1)^2y_2+2x(x^2+1)y_1=2`

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To solve the problem, we need to show that: \[ (x^2 + 1)^2 y_2 + 2x(x^2 + 1) y_1 = 2 \] where \( y = (\tan^{-1} x)^2 \), \( y_1 = \frac{dy}{dx} \), and \( y_2 = \frac{d^2y}{dx^2} \). ...
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