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If , show that
If $y = 3\cos(\log x) + 4\sin(\log x)$, show that $x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} + y = 0$
Given: $y = 3\cos(\log x) + 4\sin(\log x)$
To show: $x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} + y = 0$
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From ISC 2024 Mathematics Paper 1, question 7.