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Engineering Mathematics I

SH 401

Question
2082 Baishakh2076 ChaitraChapter 1: Derivatives and Their Applications1.2 Higher Order Derivatives

If $y=a\cos(\log x)+b\sin(\log x)$ then show that

i) $x^2y_2+xy_1+y=0$

ii) $x^2y_{n+2}+(2n+1)xy_{n+1}+(n^2+1)y_n=0$.

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