Unformatted text preview: ² 2 ± ′′ − ² ( ² + 3) ± ′ + ( ² + 3) ± = 0 ∀² > − 1 given ± 1 ( ² ) = ² Problem 6.5 Find the particular solution for (with constants ¸ , ¸ ) ± ′′ + ¸ 2 ± = cos( ¸ ² ) sin( ¸ ² ) Hint : Naturally, it is very tedious to find the closedform solution for this equation. Luckily, the main purpose of this problem is to understand the “vibrational principles” and thus you may express your solution in an integral form, if necessary. Problem 6.6 Find the particular solution for ± ′′′ + ± ′′ + ± ′ + ± = 1 + sin ² + cos 2 ² + ¹ º...
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This note was uploaded on 11/14/2011 for the course AMS 361 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.
 Fall '08
 Staff

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