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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If y=acos⁡(log⁡x)−bsin⁡(log⁡x)y=a \cos (\log x)-b \sin (\log x), then the value of x2d2ydx2+xdydx+yx^2 \frac{d^2 y}{d x^2}+x \frac{d y}{d x}+y is
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Correct option: A
0
Option A (0) is correct because substituting the given function and its derivatives into the expression results in zero.

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