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If y=3cos(logx)+4sin(logx),show that x^...

If `y=3cos(logx)+4sin(logx),`show that `x^2y_2+x y_1+y=0`.

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To solve the problem, we need to show that if \( y = 3 \cos(\log x) + 4 \sin(\log x) \), then \( x^2 y'' + x y' + y = 0 \). ### Step 1: Differentiate \( y \) to find \( y' \) Given: \[ y = 3 \cos(\log x) + 4 \sin(\log x) \] ...
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