Show that \( y=a \cos (\log x)+b \sin (\log x) \) is a solution of the differential equation \( ...
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Show that \( y=a \cos (\log x)+b \sin (\log x) \) is a solution of the differential equation \( x^{2} \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}+y=0 \).
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