If and , where and are constants ,…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If

y=e^{-x}\cos x

and

y_n+k_n y=0

, where

y_n=\frac{d^n y}{dx^n}

and

k_n

are constants

\forall n\in N

, then (a)

k_4=4

(b)

k_8=-16

(c)

k_{12}=20

(d)

k_{16}=-24

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