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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) where a,ba,b are parameters, then x2y′′+xy′{x^2}y'' + xy' is equal to
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Correct option: B
−y- y
Option B (−y-y) is correct because after differentiating twice and substituting, the expression x2y′′+xy′{x^2}y'' + xy' simplifies to −y-y.

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