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If , prove that .
If $x = \tan\left(\frac{1}{a} \log y\right)$, prove that $(1 + x^2) \frac{d^2y}{dx^2} + (2x - a) \frac{dy}{dx} = 0$.
Given: $x = \tan\left(\frac{1}{a} \log y\right)$
To show: $(1 + x^2) \frac{d^2y}{dx^2} + (2x - a) \frac{dy}{dx} = 0$
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From ISC 2018 Mathematics Paper 1, question 6.