If \( y=e^{-x} \cos x \) and \( y_{n}+k_{n} y=0 \), where \( y_{n}=...

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If \( y=e^{-x} \cos x \) and \( y_{n}+k_{n} y=0 \), where \( y_{n}=\frac{d^{n} y}{d x^{n}} \)
\( \mathrm{P} \)
W and \( k_{n}, n \in N \) are constants, then:
(1) \( k_{4}=4 \)
(2) \( k_{8}=16 \)
(3) \( k_{12}=20 \)
(4) \( k_{16}=24 \)
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