\( y=2 e^{2 x}-e^{-x} \) is a solution of the differential equation...

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\( y=2 e^{2 x}-e^{-x} \) is a solution of the differential equation
\( \mathrm{P} \)
(1) \( y_{2}+y_{1}+2 y=0 \)
(2) \( y_{2}-y_{1}+2 y=0 \)
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(3) \( y_{2}+y_{1}=0 \)
(4) \( y_{2}-y_{1}-2 y=0 \)
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