Engineering Mathematics I
SH 401
Question
2080 Bhadra2078 Kartik2075 AshwinChapter 1: Derivatives and Their Applications1.2 Higher Order Derivatives
State Leibnitz's theorem on higher order derivative. If
$$y^{\frac{1}{m}}+y^{-\frac{1}{m}}=2x$$
, then show that
a) $(x^2-1)y_2+xy_1-m^2y=0$
b) $(x^2-1)y_{n+2}+(2n+1)xy_{n+1}+(n^2-m^2)y_n=0$.
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