If y=e−xcosxandyn+kny=0,whereyn=dxndnyandkn are constants ∀n∈N, then (a)k4=4 (b) k8=−16 (c)k12=20 (d) k16=−24

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If {y}={e}^{{-{x}}}{{{x}}}{a}{n}{.{d}{y}.}_{{n}}+{k}_{{n}}{y}=

Question

If $y = e^{- x} cos x a n d y_{n} + k_{n} y = 0, w h e r e y_{n} = \frac{d ^{n} y}{d x ^{n}} a n d k_{n}$ 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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y = e^{- x} cos x a n d y_{n} + k_{n} y = 0, w h e r e y_{n} = \frac{d ^{n} y}{d x ^{n}} a n d 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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Question Text

y = e^{- x} cos x a n d y_{n} + k_{n} y = 0, w h e r e y_{n} = \frac{d ^{n} y}{d x ^{n}} a n d 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