Conclude that complex form periodic solutions are available


Question: Show that the formal periodic solution(FPS) of the higher-order differential equation

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is the characteristic polynomial of the differential equation. Conclude that complex form periodic solutions are available "instantly" for such problems is referred to as the transfer function of the system described by the differential equations). What conditions on p are required in order that the formal solution computed above is physically meaningful?

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Mathematics: Conclude that complex form periodic solutions are available
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