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If , prove that

Mathematics20214 marksDerivation
If $x = \tan\left(\frac{1}{a} \log y\right)$, prove that $(1 + x^2)\frac{d^2y}{dx^2} + (2x - a)\frac{dy}{dx} = 0$

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Continuity, Differentiability and Differentiation

From ISC 2021 Specimen Mathematics Paper 1, question 8.